Matrices Class 12 MCQs Questions with Answers

1. 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

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

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

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

5.  
If matrices A and B are inverse of each other then

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

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

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

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

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

11.  
For any unit matrix I

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

13.  
The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0, is:

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

15.  
The diagonal elements of a skew symmetric matrix are

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

17. The inverse of a matrix is defined for

18.  
The restrictions on n, k and p so that PY + WY will be defined are

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

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