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

Let Xa n dY 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? a. Y^3Z^4 Z^4Y^3 b. x^(44)+Y^(44) c. X^4Z^3-Z^3X^4 d. X^(23)+Y^(23)

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

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

Let A andB be two skew symmetric matrices of the same order find the incorrect statement:

Let A and B be two symmetric matrices. Prove that AB= BA if and only if AB is a symmetric matrix.

Let Aa n dB be two nonsinular square matrices, A^T a n dB^T are the transpose matrices of Aa n dB , respectively, then which of the following are correct? B^T A B is symmetric matrix if A is symmetric B^T A B is symmetric matrix if B is symmetric B^T A B is skew-symmetric matrix for every matrix A B^T A B is skew-symmetric matrix if A is skew-symmetric