A is said to be skew-symmetric matrix if `A^(T)`=
a)A
b)-A
c)`A^2`
d)`A^3`

The inverse of a skew symmetric matrix is

A square matrix A is said skew - symmetric matrix if

Symmetric & Skew metric matrix

If A is a skew-symmetric matrix of order 3 then A^(3) is

If A is a skew-symmetric matrix of order 3, then |A|=

If A is symmetric as well as skew-symmetric matrix, then A is

If A is skew-symmetric matrix, then trace of A is

If A and B are symmetric matrices,then ABA is (a) symmetric matric b) skew-symmetric matrix (c) diagonal matrix (d) scalar 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.