Let a be square matrix. Then prove that `A A^(T)` and `A^(T) A` are symmetric matrices.

Let A be a square matrix. Then prove that A A^(T) and A^(T) A are symmetric matrices.

Let A be a square matrix. Then prove that A + A ^(T) is a symmetric matrix.

Let A be a square matrix. Then prove that A - A^(T) is a skew-symmetric matrix

Let A be a square matrix. Then prove that (i) A + A^T is a symmetric matrix, (ii) A -A^T is a skew-symmetric matrix and (iii) AA^T and A^TA are symmetric matrices.

Let A be a square matrix. Then prove that (i) A + A^T is a symmetric matrix, (ii) A -A^T is a skew-symmetric matrix and (iii) AA^T and A^TA are symmetric matrices.

Let A be a square matrix. Then prove that (i) A + A^T is a symmetric matrix, (ii) A -A^T is a skew-symmetric matrix and (iii) AA^T and A^TA are symmetric matrices.

Let A be a square matrix. Then prove that (i) A + A^T is a symmetric matrix and, (ii) A -A^T is a skew-symmetric matrix

Let A be a square matrix.Then prove that (i)A+A^(T) is a symmetric matrix,(ii) A-A^(T) is a skew-symmetric matrix and (iii)AA^(T) and A^(T)A are symmetric matrices.

If A is a square matrix then show that A+A^(T) and A A^(T) are symmetric and A-A^(T) is skew - symmetric.

Let A be a square matrix. Then A+A^(T) will be