For any square matrix A with real numbers, prove that `A + A'` is a symmetric and `A - A'` is a skew symmetric.

For any square matrix A with real numbers. Prove that A+A^(1) is a symmetric and A-A^(1) is a skew symmetric.

For any square matrix A with real number entries.Prove that A+A^' is a symmetric matrix and A-A^' is a skew symmetric matrix.

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^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 A - A^(T) is a skew-symmetric matrix

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.

If A is any square matrix, show that 1/2(A + A') is symmetric and 1/2(A-A') is skew-symmetric.

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.