Show that the matrix `B ^(theta ) AB ` is symmetric or skew -symmetric according as A is symmetric or skew-symmetric

Show that the matrix B^T\ A B is symmetric or skew-symmetric according as A is symmetric or skew-symmetric.

Show that the matrix B^TA B is symmetric or skew-symmetric according as A is symmetric or skew-symmetric.

Show that the matrix B^TA B is symmetric or skew-symmetric according as A is symmetric or skew-symmetric.

If B is a square matrix and A is any square matrix of order equl to that of B, prove that B' AB is symmetirc or skew symmetric according as A is symmetric or skew symmetric.

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

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

For any square matrix write whether A A^T is symmetric or skew-symmetric.

If A is symmetric as well as skew-symmetric matrix, then A is

If A is symmetric as well as skew-symmetric matrix, then A is

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