Define symmetric & skew symmetric matrix and give and example to each.

Define symmetric and skew symmetric matrix and give an example to each.

skew symmetric matrix: definition and examples

Define a skew-symmetric matrix.

The inverse of a skew symmetric matrix is

Define Trace of a matrix and skew symmetric matrix.

If a symmetric /skew symmetric matrix is expressed as a sum of a symmetric and a skew symmetric matrix then prove that one of the matrices in the sum must be zero matrix .

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

If A is a skew symmetric matrix, then A^(2) is a ……

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

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