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 = [a_{ij}]_{2×2} where a_{ij} = 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^{-1}exists 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