Matrices MCQ Questions for Class 12 Maths Chapter 3 with Answers

Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 3 Matrices with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Matrices. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

MCQ Questions for Class 12 Mathematics with Answers

Q1. If A is an m × n matrix such that AB and BA are both defined, then B is a

(i) m × n matrix
(ii) n × m matrix
(iii) n × n matrix
(iv) m × n matrix

(ii) n × m matrix

Q2. If a matrix A is both symmetric and skew symmetric then matrix A is

(i) a scalar matrix
(ii) a diagonal matrix
(iii) a zero matrix of order n × n
(iv) a rectangular matrix.

(iii) a zero matrix of order n × n

Q3. The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is

(i) 27
(ii) 18
(iii) 81
(iv) 512.

(iv) 512.

Q4. If the order of the matrix is m×n, then how many elements will there be in the matrix?

(i) mn
(ii) m2 n2
(iii) mn2
(iv) 2mn

(i) mn

Q5. If A is a square matrix such that A² = I, then (A – I)³ + (A + I)³ – 7A is equal to

(i) A
(ii) I – A
(iii) I + A
(iv) 3A

Q6. The diagonal elements of a skew symmetric matrix are

(i) all zeroes
(ii) are all equal to some scalar k(≠ 0)
(iii) can be any number
(iv) none of these

(i) all zeroes

Q7. If n =p, then the order of the matrix 7X – 5Z is:

(i) p × 2
(ii) 2 × n
(iii) n × 3
(iv) p × n.

(ii) 2 × n

Q8. Which of the following is not a possible ordered pair for a matrix with 6 elements.

(i) (2,3)
(ii) (3,2)
(iii) (1,6)
(iv) (3,1)

(iv) (3,1)

Q9. If A and B are matrices of the same order, then (AB’ – BA’) is a

(i) skew-symmetric matrix
(ii) null matrix
(iii) symmetric matrix
(iv) unit matrix

(i) skew-symmetric matrix

Q10. Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is

(i) 6
(ii) 36
(iii) 32
(iv) 64

(iv) 64

Q11. Matrices A and B will be inverse of each other only if:

(i) AB = BA
(ii) AB – BA = O
(iii) AB = O, BA = I
(iv) AB = BA = I.

(iv) AB = BA = I.

Q12. Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is

(i) 9
(ii) 27
(iii) 81
(iv) 512

(iv) 512

Q13. If a matrix has 6 elements, then number of possible orders of the matrix can be

(i) 2
(ii) 4
(iii) 3
(iv) 6

(ii) 4

Q14. If a matrix is both symmetric and skew- symmetric matrix, then:

(i) A is a diagonal matrix
(ii) A is a zero matrix
(iii) A is a square matrix
(iv) None of these.

(ii) A is a zero matrix

Q15. If a matrix A is both symmetric and skew-symmetric, then

(i) A is a diagonal matrix
(ii) A is a zero matrix
(iii) A is a scalar matrix
(iv) A is a square matrix

(ii) A is a zero matrix

Q16. If A is a 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

(i) m × m
(ii) n × n
(iii) n × m
(iv) m × n.

(iv) m × n.

Q17. For any square matrix A, AAT is a

(i) unit matrix
(ii) symmetric matrix
(iii) skew-symmetric matrix
(iv) diagonal matrix

(ii) symmetric matrix

Q18. If A is a square matrix such that A² = A, then (I + A)³ – 7A is equal to :

(i) A
(ii) I – A
(iii) I
(iv) 3A.

(iii) I

Q19. If A is a square matrix, then A – A’ is a

(i) diagonal matrix
(ii) skew-symmetric matrix
(iii) symmetric matrix
(iv) none of these

(ii) skew-symmetric matrix

I Think the given NCERT MCQ Questions for class 12 Maths book Chapter 3 Matrices with Answers Pdf free download will assist you. If you’ve got any queries regarding CBSE Class 12 Maths Matrices MCQs Multiple Choice Questions with Answers, drop a comment below and that we will come back to you soon.