TOP 100+ Matrices Class 12 MCQ Questions And Answers

These Matrices Class 12 MCQ Questions And Answers are most important for your upcoming examinations including JEE Main & JEE Advanced. These Matrices Class 12 MCQ Questions And Answers will help you to score good marks in your exams by helping you to prepare the concepts better and hence, help you to understand the concepts more clearly.

Matrices Class 12 MCQ Questions And Answers

1. If matrix A = [aij]2×2 where aij =  then A² is equal to

(A) I

(B) A

(C) O

(D) None of these

Answer: I


2. The order of the single matrix obtained from  is

(A) 2 × 2

(B) 2 × 3

(C) 3 × 2

(D) 3 × 3

Answer: 3 × 3


3. Find x, y, z and w respectively such that 

(A) 7, 2, 1, 1

(B) 7, 5, 3, 8

(C) 1, 2, 5, 6

(D) 6, 3, 2, 1

Answer: 7, 2, 1, 1


4. 

(A) -7

(B) -11

(C) -2

(D) 14

Answer: -2


5. If then X=

(A) ±6

(B) 6

(C) -5

(D) 7

Answer: -5


6. If A =  where A² = B then the value of α is

(A) 1

(B) -1

(C) 4

(D) we can’t calculate the value of α

Answer: we can’t calculate the value of α


7. If A =  and |A³| = 25 then α is

(A) ±3

(B) ±2

(C) ±5

(D) 0

Answer: ±3


8. The matrix P = 

(A) square matrix

(B) diagonal matrix

(C) unit matrix

(D) None of these

Answer: square matrix


9. The matrix  is a

(A) diagonal matrix

(B) symmetric matrix

(C) skew-symmetric matrix

(D) scalar matrix

Answer: skew-symmetric matrix


10. If  then the value of w is

(A) 3

(B) 4

(C) 8

(D) 6

Answer: 4


11. If A =  then A³ – 7A² + 10A =

(A) 5I + A

(B) 5I – A

(C) 5I

(D) 6I

Answer: 5I – A


12. If A =  then A-1exists if

(A) λ = 2

(B) λ ≠ 2

(C) λ ≠ -2

(D) none of these

Answer: none of these


13. If  then xy equal to

(A) -5

(B) -4

(C) 4

(D) 5

Answer: -5


14. If  then (x, y) is

(A) (-1, 2)

(B) (-1, -2)

(C) (-2, -1)

(D) (1, -2)

Answer: (-1, 2)


15. The matrix  is a

(A) identity matrix

(B) symmetric matrix

(C) skew symmetric matrix

(D) None of these

Answer: symmetric matrix


16. The matrix A =  is a

(A) unit matrix

(B) diagonal matrix

(C) symmetric matrix

(D) skew symmetric matrix

Answer: symmetric matrix


17. If A =  then

(A) |A| = 0

(B) A-1 exists

(C) A-1 does not exist

(D) None of these

Answer: A-1 exists


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

(A) A

(B) A + I

(C) I – A

(D) A – I

Answer: I – A


19. If a matrix is both symmetric matrix and skew-symmetric matrix then

(A) A is a diagonal matrix

(B) A is a zero matrix

(C) A is scalar matrix

(D) None of these

Answer: A is a zero matrix


20. The total number of possible matrices of order 3 × 3 with each entry 2 or 0 is

(A) 9

(B) 27

(C) 81

(D) 512

Answer: 512


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