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

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

Define Trace of a matrix and skew symmetric matrix.

Define a symmetric matrix. Give one example of order 3 times 3

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

The inverse of a skew symmetric matrix of odd order is

A is a symmetric matrix or skew symmetric matrix. Then A^(2) is

If A is a skew symmetric matrix and n is an even positive integer then A^(n) is

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.

Define a scalar matrix, Give one example.

Define a system. Give an example.