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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