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

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.

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 and B are symmetric matrices of the same order,write whether AB-BA is symmetric or skew-symmetric or neither of the two.

If A and B are symmetric matrices of the same order,write whether AB-BA is symmetric or skew-symmetric or neither of the two.

If A and B are symmetric matrices of the same order, write whether A B-B A is symmetric or skew-symmetric or neither of the two.

If A is a symmetric matrix and n in N then A^(n) is

If A is a non-singular symmetric matrix, write whether A^(-1) is symmetric or skew-symmetric.