Matrices Class 12 MCQs Questions with Answers

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

2. If A is a square matrix such that A²=A, then (I + A)² – 3A is

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

4.  
For any unit matrix I

5. For a skew symmetric even ordered matrix A of integers, which of the following will not hold true:

6. For what value of λ the following system of equations does not have a solution ? x + y + z = 6, 4x + λy – λz = 0, 3 x + 2y – 4 z = – 5

7.  
The restrictions on n, k and p so that PY + WY will be defined are

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

9. The inverse of a matrix is defined for

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

11. If A and B are symmetric matrices of the same order, then

12.  
If matrices A and B are inverse of each other then

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

14. Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C?

15. If A is a matrix of order 3 × 4 , then each row of A has

16.  
The diagonal elements of a skew symmetric matrix are

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

18. If A is any square matrix, then which of the following is skew-symmetric?

19. If A2 – A + I = O, then the inverse of A is

20.  
If a matrix A is both symmetric and skew symmetric then matrix A is