1) if a and B are two matrices of the order 3 x m and 3 x n, respectively and m=n,then the order of matrics(5A-2B) is

2) if A is matrix of order m x n and B is a matrix such that AB' and B' A are both defined,then order of matrix B is

3) For any two matrices A and b, we have

4) Assuming that the sum and product given below are defined,which of the following is not true for matrices?

5) If A and B are matrices of same order,then (AB' - BA') is a

6) If A is a singular matrix, then A adj(A)

7) If A is a skew-summetric matrix of odd order,then |adj A| is equal to

8) If A be a square matrix of order n and if |A|=D and |adj A|=D',then

9) Total number of possible matrices of order 3 x 3 with each entry 2 or 0 is

10) If I is a unit matrix of order 10,then the determinant od I is equal to

11) The system of equations x + y+3z=1,2x + y + 2z=3 and 3x+ 2y+5z=3 have

12) The value of adj (adj A) is equal to

13) The value of |adj (adj A)| is equal to

14) The value of adj(adj B)| is equal to

15) The value of |adj(adj AB)| is equal to

16) The value of |(adj(adj(adj(adj A))))| is equal to

17) Statement I: If a matrix of order 2 X 2 ,commutes with every matrix of order 2 X 2,then it is scalar matrix. Statement II : A scalar matrix of order 2 X 2 commutes with every 2 X 2 matrix.

18) Let A be a square matrix of order 3 satisfying A A'=I to Statement I:A' A=I Statement II : (AB)'=B' A'

19) The number of 3 X 3 non-singular matrices with four entries as 1 and all other entries as 0,is

20) If the value of a third-order determinant is 11, then the value of the determinant formed by the co-factors is

21) Which of the following matrices does not have inverse?

22) If A, B are square matrices of order 3, then:

23) Let A be an invertible matrix. Which of the following is not true?

24) The inverse of a symmetric matrix is :

25) The inverse of a skewâ€“symmetric matrix is :

26) The inverse of a skewâ€“symmetric matrix of odd order:

27) If A is a nonâ€“singular square matrix, then |adj. A| is :

28) Let A be a square matrix all of whose entries are integers. Then which one of the following is true?

29) If A is a skew-symmetric matrix, then trace of A is

30) The product of two orthogonal matrices is

31) Which one of the following is true always for any two non-singular matrices A and B of same order?

32) If A is square matrix, then

33) If A is an orthogonal matrix, then

34) Which of the following is incorrect?