If A is a skew-symmetric matrix and `n` is an odd natural numbr, write whether `A^n` is symmetric or skew-symmetric or neither of the two.

If A is a skew-symmetric matrix and n is an odd natural number, write whether A^n is symmetric or skew-symmetric or neither of the two.

If A is a skew-symmetric matrix and n is an even natural number, write whether A^n is symmetric or skew-symmetric matrix or neither of the two

If A is a skew-symmetric matrix and n is an even natural number,write whether A^(n) is symmetric or skew-symmetric matrix or neither of the two

If A is a symmetric matrix and n in N , write whether A^n is symmetric or skew-symmetric or neither of these two.

If A is a symmetric matrix and n in N , write whether A^n is symmetric or skew-symmetric or neither of these two.

If A is a symmetric matrix and n in N, write whether A^(n) is symmetric or skew-symmetric or neither of these two.

If A is a symmetric matrix and n in N, write whether A^(n) is symmetric or skew-symmetric or neither of these two.

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

For any square matrix write whether AA^(T) is symmetric or skew-symmetric.

If Aa n dB are symmetric matrices of the same order, write whether AB-BA is symmetric or skew-symmetric or neither of the two.