(June 2014) ... Answer: Question 8. If A=(2,0,1,2,1,3,1,-1,0) Find A2-5a+4i And Hence Find a Matrix X Such That A2-5a+4i+X=O Concept: Operations on Matrices - Addition of Matrices. Lalit Sardana Sir For the Matrices a and B, Verify that (Ab)T = Bt At, Where a = [ 1 3 2 4 ] , B = [ 1 4 2 5 ] Concept: Operations on Matrices - Multiplication of Matrices. CET 1990], If $A=\left[ \begin{matrix} 1 & 3 & 0 \\ -1 & 2 & 1 \\ 0 & 0 & 2 \\ \end{matrix} \right],B=\left[ \begin{matrix} 2 & 3 & 4 \\ 1 & 2 & 3 \\ -1 & 1 & 2 \\ \end{matrix} \right]$, then AB = [EAMCET 1987], If $A=\left[ \begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} \right],$$B=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],$then $AB=$ [EAMCET 1984], If $A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]$ and $B=\left[ \begin{matrix} 0 & -i \\ -i & 0 \\ \end{matrix} \right]$, then $(A+B)(A-B)$ is equal to [RPET 1994], If $A=\left[ \begin{matrix} 1 & -2 \\ 3 & 0 \\ \end{matrix} \right],$ $B=\left[ \begin{matrix} -1 & 4 \\ 2 & 3 \\ \end{matrix} \right]$, $C=\left[ \begin{matrix} 0 & -1 \\ 1 & 0 \\ \end{matrix} \right]$, then $5A-3B-2C$= [RPET 1992, 94], If $\left[ \begin{matrix} x & 0 \\ 1 & y \\ \end{matrix} \right]+\left[ \begin{matrix} -2 & 1 \\ 3 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 5 \\ 6 & 3 \\ \end{matrix} \right]-\left[ \begin{matrix} 2 & 4 \\ 2 & 1 \\ \end{matrix} \right]$, then [RPET 1994], If $A=\left[ \begin{matrix} x & 1 \\ 1 & 0 \\ \end{matrix} \right]$and ${{A}^{2}}$ is the identity matrix, then x = [EAMCET 1993], If $A=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],B=\left[ \begin{matrix} 0 & -i \\ i & 0 \\ \end{matrix} \right]$ then ${{(A+B)}^{2}}$equals [RPET 1994], If $A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right],$I is the unit matrix of order 2 and a, b are arbitrary constants, then ${{(aI+bA)}^{2}}$is equal to [RPET 1992], If $A=\left[ \begin{matrix} 1 & 2 \\ -3 & 0 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} -1 & 0 \\ 2 & 3 \\ \end{matrix} \right]$, then [MP PET 1996], Which one of the following is not true [Kurukshetra CEE 1998], In order that the matrix $\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 3 & \lambda & 5 \\ \end{matrix} \right]$ be non-singular, $\lambda$ should not be equal to [Kurukshetra CEE 1998], If $U=[2\,-3\,\,4],X=[0\,\,2\,\,3],$ V=\left[ \begin{align} & 3 \\ & 2 \\ & 1 \\ \end{align} \right] and Y=\left[ \begin{align} & 2 \\ & 2 \\ & 4 \\ \end{align} \right], then $UV+XY$= [MP PET 1997], If $A=\left[ \begin{matrix} 0 & i \\ -i & 0 \\ \end{matrix} \right]$, then the value of ${{A}^{40}}$is [RPET 1999], If $A=\left[ \begin{matrix} 1 & -2 & 1 \\ 2 & 1 & 3 \\ \end{matrix} \right]$ and $B=\left[ \begin{matrix} 2 & 1 \\ 3 & 2 \\ 1 & 1 \\ \end{matrix} \right]$, then ${{(AB)}^{T}}=$ [RPET 1996], If A=[1\,2\,3],B=\left[ \begin{align} & 2 \\ & 3 \\ & 4 \\ \end{align} \right] and $C=\left[ \begin{matrix} 1 & 5 \\ 0 & 2 \\ \end{matrix} \right]$, then which of the following is defined [RPET 1996], The matrix product $AB=O$, then [Kurukshetra CEE 1998; RPET 2001], If A and B are square matrices of order n x n, then ${{(A-B)}^{2}}$ is equal to [Karnataka CET 1999; Kerala (Engg.) NCERT Solutions for Class 12 Maths PDF: Going through CBSE Class 12 Maths NCERT Solutions is a significant part of your preparation for Class 12th board exams.Working on CBSE NCERT Solutions for Class 12 Maths will clear your doubts in regard to any question and improve your application skills as … | CET 2000], If $A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right]$and $AB=O$, then B = [MP PET 1989], If A and B are square matrices of order 2, then ${{(A+B)}^{2}}=$ [MP PET 1992], If $A=\left[ \begin{matrix} 1 & 0 & 0 & 0 \\ 2 & 3 & 0 & 0 \\ 4 & 5 & 6 & 0 \\ 7 & 8 & 9 & 10 \\ \end{matrix} \right]$, then A is, Square matrix ${{[{{a}_{ij}}]}_{n\times n}}$will be an upper triangular matrix, if, If the matrix $\left[ \begin{matrix} 0 & 1 & -2 \\ -1 & 0 & 3 \\ \lambda & -3 & 0 \\ \end{matrix} \right]$is singular, then $\lambda$= [MP PET 1989], Which of the following relations is incorrect, If A is a square matrix of order n and $A=k$B, where k is a scalar, then |A|= [Karnataka CET 1992], If $A=dig(2,-1,\,3),B=dig(-1,\,3,\,2)$, then ${{A}^{2}}B=$, $\cos \theta \left[ \begin{matrix} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \\ \end{matrix} \right]+\sin \theta \left[ \begin{matrix} \sin \theta & -\cos \theta \\ \cos \theta & \sin \theta \\ \end{matrix} \right]=$, If $A=[a\,\,b],B=[-b-a]$and C=\left[ \begin{align} & \,\,\,\,a \\ & -a \\ \end{align} \right], then the correct statement is [AMU 1987], If $A=\left[ \begin{matrix} 1 & a \\ 0 & 1 \\ \end{matrix} \right]$, then ${{A}^{4}}$is equal to [MP PET 1993; Pb. Privacy Policy 1) A = 13-3 30 5 , B = 30-31 05. This document is highly rated by Engineering Mathematics students and has been viewed 12106 times. Sh. Important Solutions 2834. In this chapter, we will typically assume that our matrices contain only numbers. Questions Bank RD Sharma Solutions for Class 12-science Mathematics CBSE, 5 Algebra of Matrices. Solved Papers Then, The order of [x\,y\,z]\,\,\left[ \begin{matrix} a & h & g \\ h & b & f \\ g & f & c \\ \end{matrix} \right]\,\left[ \begin{align} & x \\ & y \\ & z \\ \end{align} \right] is [EAMCET 1994], If A and B are two matrices such that $AB=B$and $BA=A,$ then ${{A}^{2}}+{{B}^{2}}=$ [EAMCET 1994], If A and B are two matrices and $(A+B)(A-B)$$={{A}^{2}}-{{B}^{2}}$, then [RPET 1995], $A=\left[ \begin{matrix} 5 & -3 \\ 2 & 4 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 6 & -4 \\ 3 & 6 \\ \end{matrix} \right],$then $A-B=$ [RPET 1995], If $X=\left[ \begin{matrix} 3 & -4 \\ 1 & -1 \\ \end{matrix} \right]$, then the value of ${{X}^{n}}$is [EAMCET 1991], If $A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]$, then ${{A}^{2}}=$ [EAMCET 1983], If $A$ and $B$ are square matrices of same order, then [Roorkee 1995], If $A=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],$then ${{A}^{4}}$= [EAMCET 1994], If $A=\left[ \begin{matrix} 3 & 1 \\ -1 & 2 \\ \end{matrix} \right]$, then ${{A}^{2}}=$ [Karnataka CET 1994], If A and B are two matrices such that A+B and AB are both defined, then [Pb. Revision Village - Voted #1 IB Mathematics HL Resource in 2018 & 2019! Question 22. Why Studyadda? Franchise 2) Let A = -5 2 and B = 1 0 .    7 & 1 & 2  \\ | Free Question Bank for JEE Main & Advanced Mathematics Determinants & Matrices Expansion of determinants, Solution of equation in the form of determinants and properties of determinants \end{matrix} \right]\left[ \begin{matrix} A matrix is basically an organized box (or “array”) of numbers (or other expressions). |    9 & 2 & 1  \\ S.B.    4  \\ Definition of a Matrix The following are examples of matrices (plural of matrix).    7 & 1 & 2  \\ This is CET 1990; DCE 2001], question_answer6) If $A=\left[ \begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} \right]$, then ${{A}^{n}}=$ [RPET 1995], question_answer7) $AB=0$, if and only if [MNR 1981; Karnataka CET 1993], question_answer8) If $A=\left[ \begin{matrix} 2 & 2 \\ a & b \\ \end{matrix} \right]$and ${{A}^{2}}=O$, then $(a,b)=$, question_answer9) If [m n]$\left[ \begin{matrix} m \\ n \\ \end{matrix} \right]=$ and m< n, then (m, n) =, question_answer10) $A=\left[ \begin{matrix} 4 & 6 & -1 \\ 3 & 0 & 2 \\ 1 & -2 & 5 \\ \end{matrix} \right]$,$B=\left[ \begin{matrix} 2 & 4 \\ 0 & 1 \\ -1 & 2 \\ \end{matrix} \right],\,\,C=\left[ \begin{matrix} 3 \\ 1 \\ 2 \\ \end{matrix} \right]$, then the expression which is not defined is [MP PET 1987], question_answer11) If $A=\left[ \begin{matrix} i & 0 \\ 0 & -i \\ \end{matrix} \right],B=\left[ \begin{matrix} 0 & i \\ i & 0 \\ \end{matrix} \right]$, where $i=\sqrt{-1}$, then the correct relation is, question_answer12) If the matrix $\left[ \begin{matrix} 1 & 3 & \lambda +2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \\ \end{matrix} \right]$is singular, then $\lambda =$ [MP PET 1990; Pb. Syllabus. Media Direction: (1-5): A word is mentioned only … b) Find the area of T2. CET 2001], question_answer73) If $A=\left( \begin{matrix} i & 1 \\ 0 & i \\ \end{matrix} \right)$, then ${{A}^{4}}$equals [AMU 1999], question_answer74) \left[ \begin{align} & \,\,\,1 \\ & -1 \\ & \,\,\,2 \\ \end{align} \right]\,\,[2\text{ }1\text{ }-1] = [MP PET 2000], question_answer75) If two matrices A and B are of order p x q and r x s respectively, can be subtracted only, if [RPET 2000], question_answer76) If $A=\left[ \begin{matrix} 1 & 3 \\ 2 & 1 \\ \end{matrix} \right]$, then determinant of ${{A}^{2}}-2A$is [EAMCET 2000], question_answer77) If the matrix $AB=O$, then [Pb. Questions are expected in the various sections of the question paper corresponding to (i) Very Short Answer Type (VSA) Questions: 1 Mark, (ii) Short Answer Type (SA) Questions: 2 Marks, (iii) Long Answer Type I (LA-I) Questions: 4 Marks, and Null or Zero Matrix: A matrix in which each element is „0‟ is called a Null or Zero matrix. 2002], If $P=\left( \begin{matrix} i & 0 & -i \\ 0 & -i & i \\ -i & i & 0 \\ \end{matrix} \right)$ and $Q=\left( \begin{matrix} -i & i \\ 0 & 0 \\ i & -i \\ \end{matrix} \right)$,then $PQ$ is equal to [Kerala (Engg.) The matrix A, maps the point P(2,5) onto the point Q( 1,2)− . | )2001], The matrix $\left[ \begin{matrix} 2 & \lambda & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3 \\ \end{matrix} \right]$is non singular, if [Kurukshetra CEE 2002], If $A=\left[ \begin{matrix} 1 & -1 \\ 2 & -1 \\ \end{matrix} \right],\,\,B=\left[ \begin{matrix} a & 1 \\ b & -1 \\ \end{matrix} \right]$ and ${{(A+B)}^{2}}={{A}^{2}}+{{B}^{2}}$, then the value of a and b are [Kurukshetra CEE 2002], If $A,B$are square matrices of order 3, A is non- singular and $AB=O$, then B is a [EAMCET 2002], If $A=\left[ \begin{matrix} 3 & -5 \\ -4 & 2 \\ \end{matrix} \right],$then ${{A}^{2}}-5A=$ [RPET 2002], If matrix $A=\left[ \begin{matrix} 0 & -1 \\ 1 & 0 \\ \end{matrix} \right]$, then ${{A}^{16}}=$[Karnataka CET 2002], If $A=\left[ \begin{matrix} 1 & 1 \\ 1 & 1 \\ \end{matrix} \right],$then ${{A}^{100}}=$ [UPSEAT 2002; MP PET 2004], Which is true about matrix multiplication [UPSEAT 2002], Matrix $A=\left[ \begin{matrix} 1 & 0 & -k \\ 2 & 1 & 3 \\ k & 0 & 1 \\ \end{matrix} \right]$is invertible for [UPSEAT 2002], If $\left[ \begin{matrix} x+y & 2x+z \\ x-y & 2z+w \\ \end{matrix} \right]=\left[ \begin{matrix} 4 & 7 \\ 0 & 10 \\ \end{matrix} \right]$, then values of$x,y,z,w$are [RPET 2002], The value of a for which the matrix $A=\left( \begin{matrix} a & 2 \\ 2 & 4 \\ \end{matrix} \right)$is singular if [Kerala (Engg. https://www.studyadda.com    3  \\ VERY SHORT ANSWER TYPE QUESTIONS 1. X = A-1 B. 1) A = 13-3 30 5 , B = 30-31 05. using search above. | A is the 3x3 matrix of x, y and z coefficients; X is x, y and z, and ; B is 6, −4 and 27; Then (as shown on the Inverse of a Matrix page) the solution is this: . | 2001], question_answer83) For the matrix $A=\left[ \begin{matrix} 1 & 1 & 0 \\ 1 & 2 & 1 \\ 2 & 1 & 0 \\ \end{matrix} \right]$, which of the following is correct [Kerala (Engg. Row Matrix and Column Matrix: A matrix consisting of a single row is called a . Class 12 Chapter 3 Matrices Important Questions With Solutions Practice the important questions for class 12 chapter 3 matrices to score good marks in the board examinations.  is equal to [DCE 2002], Let $A=\left( \begin{matrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \\ \end{matrix} \right)$, the only correct statement about the matrix A is [AIEEE 2004], If $A=\left( \begin{matrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \\ \end{matrix} \right)$ and $B=\left( \begin{matrix} -5 & 7 & 1 \\ 1 & -5 & 7 \\ 7 & 1 & -5 \\ \end{matrix} \right)$ then $AB$ is equal to [Pb. | For more practice, you can visit on figure matrix questions with answers of non-verbal reasoning as well as maths questions and answers for bank exams. Find the matrix product AB, if it is defined. \left( \begin{matrix} x & x \\ x & x \\ \end{matrix} \right) \right|x\in R;\,x\ne 0\, \right\}\] with respect to matrix multiplication is [Karnataka CET 2005], If $A=\left[ \begin{matrix} 1 & 0 \\ 1 & 1 \\ \end{matrix} \right]$ and $I=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]$, then which one of the following holds for all $n\ge 1$, (by the principal of mathematical induction) [AIEEE 2005]. By continuing, I agree that I am at least 13 years old and have read and agree to the. Then, question_answer42) The order of [x\,y\,z]\,\,\left[ \begin{matrix} a & h & g \\ h & b & f \\ g & f & c \\ \end{matrix} \right]\,\left[ \begin{align} & x \\ & y \\ & z \\ \end{align} \right] is [EAMCET 1994], question_answer43) If A and B are two matrices such that $AB=B$and $BA=A,$ then ${{A}^{2}}+{{B}^{2}}=$ [EAMCET 1994], question_answer44) If A and B are two matrices and $(A+B)(A-B)$$={{A}^{2}}-{{B}^{2}}$, then [RPET 1995], question_answer45) $A=\left[ \begin{matrix} 5 & -3 \\ 2 & 4 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 6 & -4 \\ 3 & 6 \\ \end{matrix} \right],$then $A-B=$ [RPET 1995], question_answer46) If $X=\left[ \begin{matrix} 3 & -4 \\ 1 & -1 \\ \end{matrix} \right]$, then the value of ${{X}^{n}}$is [EAMCET 1991], question_answer47) If $A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]$, then ${{A}^{2}}=$ [EAMCET 1983], question_answer48) If $A$ and $B$ are square matrices of same order, then [Roorkee 1995], question_answer49) If $A=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],$then ${{A}^{4}}$= [EAMCET 1994], question_answer50) If $A=\left[ \begin{matrix} 3 & 1 \\ -1 & 2 \\ \end{matrix} \right]$, then ${{A}^{2}}=$ [Karnataka CET 1994], question_answer51) If A and B are two matrices such that A+B and AB are both defined, then [Pb. This document is highly rated by Engineering Mathematics students and has been viewed 12106 times. | FAQ Question Bank Solutions 14550. 3 sec, OTP has been sent to your mobile number and is valid for one hour, In a skew symmetric matrix, the diagonal elements are all [MP PET 1987], If $M=\left[ \begin{matrix} 1 & 2 \\ 2 & 3 \\ \end{matrix} \right]$and ${{M}^{2}}-\lambda M-{{I}_{2}}=0$, then $\lambda =$ [MP PET 1990, 2001], If $A=\left[ \begin{matrix} \cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} \cos \beta & -\sin \beta \\ \sin \beta & \cos \beta \\ \end{matrix} \right]$, then the correct relation is, If $A=\left[ \begin{matrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 0 \\ \end{matrix} \right]$, then A is [MP PET 1991], If $A=\left[ \begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ a & b & -1 \\ \end{matrix} \right]$, then ${{A}^{2}}=$ [MNR 1980; Pb. Free Videos, Contact Us Name Designation 1. Time Tables 15. Nov 29, 2020 - Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev is made by best teachers of Engineering Mathematics . Do check out the sample questions Answer: (b) 4, 2, -3. Question 23. \end{matrix} \right]+2\left[ \begin{matrix} Amazing Facts In a matrix write. 2001], question_answer81) If $A=\left[ \begin{matrix} 0 & 2 \\ 3 & -4 \\ \end{matrix} \right]$ and $kA=\left[ \begin{matrix} 0 & 3a \\ 2b & 24 \\ \end{matrix} \right]$, then the values of k, a, b are respectively [EAMCET 2001], question_answer82) If $\left[ \begin{matrix} 2+x & 3 & 4 \\ 1 & -1 & 2 \\ x & 1 & -5 \\ \end{matrix} \right]$is a singular matrix, then x is [Kerala (Engg.) column matrix or a column vector. | \end{matrix} \right]+2\left[ \begin{matrix} Karnataka 2nd PUC Maths Question Bank Chapter 3 Matrices 2nd PUC Maths Matrices One Mark Questions and Answers. Advertisement Textbook Solutions 2002], question_answer97) Assuming that the sums and products given below are defined, which of the following is not true for matrices [Karnataka CET 2003], question_answer98) If $A=\left[ \begin{matrix} 1 & 2 & -1 \\ 3 & 0 & \,\,2 \\ 4 & 5 & \,\,0 \\ \end{matrix} \right]$, $B=\left[ \begin{matrix} 1 & 0 & 0 \\ 2 & 1 & 0 \\ 0 & 1 & 3 \\ \end{matrix} \right],$then $AB$ is [MP PET 2003], question_answer99) If A and B are $3\times 3$matrices such that $AB=A$ and $BA=B$, then [Orissa JEE 2003], question_answer100) If $A=\left[ \begin{matrix} \alpha & 0 \\ 1 & 1 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 1 & 0 \\ 5 & 1 \\ \end{matrix} \right]$, then value of$\alpha$for which ${{A}^{2}}=B$, is [IIT Screening 2003], question_answer101) $\left[ \begin{matrix} Advertisement. 2002], question_answer95) If \[P=\left( \begin{matrix} i & 0 & -i \\ 0 & -i & i \\ -i & i & 0 \\ \end{matrix} \right)$ and $Q=\left( \begin{matrix} -i & i \\ 0 & 0 \\ i & -i \\ \end{matrix} \right)$,then $PQ$ is equal to [Kerala (Engg.) this is your one stop solution. )2002], If $A=\left( \begin{matrix} 2 & -1 \\ -1 & 2 \\ \end{matrix} \right)$and I is the unit matrix of order 2, then ${{A}^{2}}$ equals [Kerala (Engg.) Question 1. Solution: Question 11. 2002], question_answer96) If I is a unit matrix of order 10, then the determinant of I is equal to [Kerala (Engg.) b) Find the area of T2. Solution: Question 3. Define a diagonal matrix. Karnataka 2nd PUC Maths Question Bank Chapter 3 Matrices 2nd PUC Maths Matrices One Mark Questions and Answers. CET 1990], question_answer52) If $A=\left[ \begin{matrix} 1 & 3 & 0 \\ -1 & 2 & 1 \\ 0 & 0 & 2 \\ \end{matrix} \right],B=\left[ \begin{matrix} 2 & 3 & 4 \\ 1 & 2 & 3 \\ -1 & 1 & 2 \\ \end{matrix} \right]$, then AB = [EAMCET 1987], question_answer53) If $A=\left[ \begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} \right],$$B=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],$then $AB=$ [EAMCET 1984], question_answer54) If $A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]$ and $B=\left[ \begin{matrix} 0 & -i \\ -i & 0 \\ \end{matrix} \right]$, then $(A+B)(A-B)$ is equal to [RPET 1994], question_answer55) If $A=\left[ \begin{matrix} 1 & -2 \\ 3 & 0 \\ \end{matrix} \right],$ $B=\left[ \begin{matrix} -1 & 4 \\ 2 & 3 \\ \end{matrix} \right]$, $C=\left[ \begin{matrix} 0 & -1 \\ 1 & 0 \\ \end{matrix} \right]$, then $5A-3B-2C$= [RPET 1992, 94], question_answer56) If $\left[ \begin{matrix} x & 0 \\ 1 & y \\ \end{matrix} \right]+\left[ \begin{matrix} -2 & 1 \\ 3 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 5 \\ 6 & 3 \\ \end{matrix} \right]-\left[ \begin{matrix} 2 & 4 \\ 2 & 1 \\ \end{matrix} \right]$, then [RPET 1994], question_answer57) If $A=\left[ \begin{matrix} x & 1 \\ 1 & 0 \\ \end{matrix} \right]$and ${{A}^{2}}$ is the identity matrix, then x = [EAMCET 1993], question_answer58) If $A=\left[ \begin{matrix} 0 & 1 \\ 1 & 0 \\ \end{matrix} \right],B=\left[ \begin{matrix} 0 & -i \\ i & 0 \\ \end{matrix} \right]$ then ${{(A+B)}^{2}}$equals [RPET 1994], question_answer59) If $A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right],$I is the unit matrix of order 2 and a, b are arbitrary constants, then ${{(aI+bA)}^{2}}$is equal to [RPET 1992], question_answer60) Matrix theory was introduced by, question_answer61) If $A=\left[ \begin{matrix} 1 & 2 \\ -3 & 0 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} -1 & 0 \\ 2 & 3 \\ \end{matrix} \right]$, then [MP PET 1996], question_answer62) Which one of the following is not true [Kurukshetra CEE 1998], question_answer63) In order that the matrix $\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 3 & \lambda & 5 \\ \end{matrix} \right]$ be non-singular, $\lambda$ should not be equal to [Kurukshetra CEE 1998], question_answer64) If $U=[2\,-3\,\,4],X=[0\,\,2\,\,3],$ V=\left[ \begin{align} & 3 \\ & 2 \\ & 1 \\ \end{align} \right] and Y=\left[ \begin{align} & 2 \\ & 2 \\ & 4 \\ \end{align} \right], then $UV+XY$= [MP PET 1997], question_answer65) If $A=\left[ \begin{matrix} 0 & i \\ -i & 0 \\ \end{matrix} \right]$, then the value of ${{A}^{40}}$is [RPET 1999], question_answer66) If $A=\left[ \begin{matrix} 1 & -2 & 1 \\ 2 & 1 & 3 \\ \end{matrix} \right]$ and $B=\left[ \begin{matrix} 2 & 1 \\ 3 & 2 \\ 1 & 1 \\ \end{matrix} \right]$, then ${{(AB)}^{T}}=$ [RPET 1996], question_answer67) If A=[1\,2\,3],B=\left[ \begin{align} & 2 \\ & 3 \\ & 4 \\ \end{align} \right] and $C=\left[ \begin{matrix} 1 & 5 \\ 0 & 2 \\ \end{matrix} \right]$, then which of the following is defined [RPET 1996], question_answer68) The matrix product $AB=O$, then [Kurukshetra CEE 1998; RPET 2001], question_answer69) If A and B are square matrices of order n x n, then ${{(A-B)}^{2}}$ is equal to [Karnataka CET 1999; Kerala (Engg.) | The Matrix Solution. Solution: Matrices Exercise 9C – Selina Concise Mathematics Class 10 ICSE Solutions. row matrix or a row vector, whereas a matrix having single column is called a . The document Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev is a part of. Practice JEE Main Important Topics Questions solved by our expert … out Engineering Mathematics lecture & lessons summary in the same course for Engineering Mathematics Syllabus. Question Bank Solutions 24558. If a matrix A is both symmetric and skew-symmetric, then (a) A is a diagonal matrix (b) A is a zero matrix (c) A is a scalar matrix (d) A is a square matrix Answer: (b) A is a zero matrix. Free PDF Download of JEE Main Matrices and Determinants Important Questions of key topics. In this chapter, we will typically assume that our matrices contain only numbers. You can download Free Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev pdf from EduRev by EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. Matrices Important Questions for CBSE Class 12 Matrix and Operations of Matrices Previous Year Examination Questions 1 Mark Questions. Thus, the product is not possible. Solution: The number of columns in the first matrix is not equal to the number of rows in the second matrix. All you need of Engineering Mathematics at this link: All Tests, Videos & Notes of Engineering Mathematics : Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev notes for Engineering Mathematics is made by best teachers who have written some of the best books of QUESTION BANK FOR MATHEMATICS FOR CLASS XII Sl. Students can Download Maths Chapter 3 Matrices Miscellaneous Exercise Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. 2. CET 2002], question_answer104) What must be the matrix X if $2X+\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 8 \\ 7 & 2 \\ \end{matrix} \right]$ [Karnataka CET 2004], question_answer105) If $A+B=\left[ \begin{matrix} 1 & 0 \\ 1 & 1 \\ \end{matrix} \right]$and $A-2B=\left[ \begin{matrix} -1 & 1 \\ 0 & -1 \\ \end{matrix} \right]\,,$then A= [Karnataka CET 1994], question_answer106) The identity element in the group $M=\left\{ \left. Matrix math exercises & matrices math problems for students of all ages. Purchase Courses \end{matrix} \right]\left[ \begin{matrix} Question 1. Refund Policy, You need to login to perform this action.You will be redirected in CET 2000], question_answer13) If \[A=\left[ \begin{matrix} ab & {{b}^{2}} \\ -{{a}^{2}} & -ab \\ \end{matrix} \right]$and ${{A}^{n}}=O$, then the minimum value of n is, question_answer14) If $A=\left[ \begin{matrix} 1/3 & 2 \\ 0 & 2x-3 \\ \end{matrix} \right],B=\left[ \begin{matrix} 3 & 6 \\ 0 & -1 \\ \end{matrix} \right]$and $AB=I$, then x = [MP PET 1987], question_answer15) If $AB=C$, then matrices $A,B,C$are [MP PET 1991], question_answer16) If $A=\left[ \begin{matrix} \lambda & 1 \\ -1 & -\lambda \\ \end{matrix} \right]$, then for what value of $\lambda ,\,{{A}^{2}}=O$ [MP PET 1992], question_answer17) If $A=\left[ \begin{matrix} 0 & 1 & -2 \\ -1 & 0 & 5 \\ 2 & -5 & 0 \\ \end{matrix} \right]$, then [MNR 1982], question_answer18) If $A=\left[ \begin{matrix} 4 & 1 \\ 3 & 2 \\ \end{matrix} \right]$and $I=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]$, ${{A}^{2}}-6A=$ [MP PET 1987], question_answer19) If $A=\left[ \begin{matrix} 1 & 2 & 3 \\ 5 & 0 & 7 \\ 6 & 2 & 5 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 1 & 3 & 5 \\ 0 & 0 & 2 \\ \end{matrix} \right]$, then which of the following is defined, question_answer20) If $A=[1\,\,2\,\text{ }3]$and $B=\left[ \begin{matrix} -5 & 4 & 0 \\ 0 & 2 & -1 \\ 1 & -3 & 2 \\ \end{matrix} \right]$, then $AB=$ [MP PET 1988], question_answer21) If A is a $m\times n$matrix and B is a matrix such that both AB and BA are defined, then the order of B is, question_answer22) If A=\left[ \begin{align} & 1 \\ & 2 \\ & 3 \\ \end{align} \right],then $A{A}'=$ [MP PET 1992], question_answer23) If $\left[ \begin{matrix} 2 & -3 \\ 4 & 0 \\ \end{matrix} \right]-\left[ \begin{matrix} a & c \\ b & d \\ \end{matrix} \right]=\left[ \begin{matrix} 1 & 4 \\ 2 & -5 \\ \end{matrix} \right]$, then $(a,b,c,d)=$, question_answer24) If $A=\left[ \begin{matrix} -1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1 \\ \end{matrix} \right]$, then ${{A}^{2}}$is [MNR 1980], question_answer25) If $A=\left[ \begin{matrix} 0 & 2 & 0 \\ 0 & 0 & 3 \\ -2 & 2 & 0 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 5 & -4 & 0 \\ \end{matrix} \right]$, then the element of 3rd row and third column in AB will be, question_answer26) If $A=\left[ \begin{matrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \\ \end{matrix} \right],$then ${{A}^{5}}=$ [MP PET 1995,1999; Pb. 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