If `A^(T).A^(-1)` is symmetric, then `A^(2)`=

Let A be a non-singular matrix.Show that A^(T)A^(-1) is symmetric iff A^(2)=(A^(T))^(2)

Let A be a non-singular matrix.Show that A^(T)A^(-1) is symmetric if A^(2)=(A^(T))^(2)

If A is square matrix, A+A^(T) is symmetric matrix, then A-A^(T) =

Let A be a non-singular matrix. Show that A^T A^(-1) is symmetric if A^2=(A^T)^2

Let A be a non-singular matrix. Show that A^T A^(-1) is symmetric iff A^2=(A^T)^2 .

A is symmetric matrix if A^T =

Show that A+A^(T) is symmetric when A=[(2,4),(5,6)] .

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.