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

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? (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

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

It A is a symmetric matrix, write whether A^T is symmetric or skew - symmetric matrix.

If B is a skew-symmetric matrix, write whether the matrix A BA^T is symmetric or skew-symmetric.

if B is skew symmetric matrix then find matrix ABA^(T) is symmetric or skew symmetric

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

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

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

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

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