Define Trace of a matrix and skew symmetric matrix.

Define Rank of a matrix.

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

Express A=[(2,0,-3),(4,3,1),(-5,7,2)] as a sum of a symmetric and a skew symmetric matrix

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

A and B are square matrices of order 3xx3 , A is on orthogonal matrix and B is a skew symmetric matrix,. Which of the following statements is not true

Define a diagonal matrix.

Define a scalar matrix.