Let `X \ a n d \ Y` be two arbitrary, `3xx3` , non-zero, skew-symmetric matrices and `Z` be an arbitrary `3xx3` , non-zero, symmetric matrix. Then which of the following matrices is (are) skew symmetric?

If Ais symmetric and B is skew-symmetric matrix, then which of the following is/are CORRECT ?

If D_(1) and D_(2) are two 3xx3 diagonal matrices, then which of the following is/are true ?

If D_(1) and D_(2) are two 3xx3 diagonal matrices, then which of the following is/are true ?

If A and B are symmetric matrices, prove that AB-BA is a skew symmetric matrix.

A and B arer two matrices of order 3xx3 which satisfy AB = A and BA = B. Which of the following are true?

If A and B are two square matrices of order 3xx3 which satify AB=A and BA=B , then Which of the following is true ?

If A and B are non-singular symmetric matrices such that AB=BA , then prove that A^(-1) B^(-1) is symmetric matrix.

Let m and N be two 3x3 matrices such that MN=NM. Further if M!=N^2 and M^2=N^4 then which of the following are correct.

Let Aa n dB be two nonsingular square matrices, A^T a n dB^T are the transpose matrices of Aa n dB , respectively, then which of the following options are correct? (correct option may be more than one) (a) . B^T A B is symmetric matrix (b) . if A is symmetric B^T A B is symmetric matrix (c) . if B is symmetric B^T A B is skew-symmetric matrix for every matrix A (d) . B^T A B is skew-symmetric matrix if A is skew-symmetric

If A is a 3xx3 skew-symmetric matrix, then trace of A is equal to -1 b. 1 c. |A| d. none of these