Check the below NCERT MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have provided Matrices Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

## Q.1 The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0, is:

(a) less than 4

(b) 5

(c) 6

(d) at least 7

## Q.2 If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is

(a) m × 3

(b) 3 × 3

(c) m × n

(d) 3 × n

## Q.3 If A is matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is

(a) m × m

(b) n × n

(c) n × m

(d) m × n

## Q.4 If a matrix A is both symmetric and skew symmetric then matrix A is

(a) a scalar matrix

(b) a diagonal matrix

(c) a zero matrix of order n × n

(d) a rectangular matrix

## Q.5 If A and B are matrices of same order, then (AB’ – BA’) is a

(a) skew symmetric matrix

(b) null matrix

(c) symmetric matrix

(d) unit matrix

## Q.6 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

## Q.7 If A is a square matrix such that A² = I, then (A – I)³ + (A + I)³ – 7A is equal to

(a) A

(b) I – A

(c) I + A

(d) 3 A

## Q.8 The restrictions on n, k and p so that PY + WY will be defined are

(a) k = 3, p = n

(b) k is arbitrary, p = 2

(c) p is arbitrary

(d) k = 2,p = 3

## Q.9 For any two matrices A and B, we have

(a) AB = BA

(b) AB ≠ BA

(c) AB = 0

(d) None of these

## Q.10 Matrices A and B will be inverse of each other only if:

(a) AB = BA

(b) AB – BA = O

(c) AB = O, BA = I

(d) AB = BA = I

## Q.11 For any unit matrix I

(a) I² = I

(b) |I| = 0

(c) |I| = 2

(d) |I| = 5

## Q.12 If A and B are square matrices then (AB)’ =

(a) B’A’

(b) A’B’

(c) AB’

(d) A’B’

## Q.13 If a matrix has 6 elements, then number of possible orders of the matrix can be

(a) 2

(b) 4

(c) 3

(d) 6

## Q.14 If A is a matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then the order of matrix B is

(a) m × m

(b) n × n

(c) n × m

(d) m × n

## Q.15 Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is

(a) 6

(b) 36

(c) 32

(d) 64

## Q.16 If A and B are matrices of the same order, then (AB’ – BA’) is a

(a) skew-symmetric matrix

(b) null matrix

(c) symmetric matrix

(d) unit matrix

## Q.17 If matrices A and B are inverse of each other then

(a) AB = BA

(b) AB = BA = I

(c) AB = BA = 0

(d) AB = 0, BA = I

## Q.18 A² – A + I = 0 then the inverse of A

(a) A

(b) A + I

(c) I – A

(d) A – I

## Q.19 If a matrix is both symmetric matrix and skew symmetric matrix then

(a) A is a diagonal matrix

(b) A is zero matrix

(c) A is scalar matrix

(d) None of these

## Q.20 Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is

(a) 9

(b) 27

(c) 81

(d) 512

## Q.21 The diagonal elements of a skew symmetric matrix are

(a) all zeroes

(b) are all equal to some scalar k(≠ 0)

(c) can be any number

(d) none of these