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

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

Define a skew-symmetric matrix.

skew symmetric matrix: definition and examples

Define Trace of a matrix and skew symmetric matrix.

The inverse of a skew symmetric matrix is

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 .

…….. Matrix is both symmetric and skew symmetric matrix .

If a matrix is both symmetric and skew-symmetric matrix, then

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

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