Express the matrix 
as the sum of a symmetric and a skew-symmetric matrix.
Given,
Then 
X is a symmetric matrix.
Y is a skew symmetric matrix.
Now,
Hence, X + Y = A.
5
Express the matrix as the sum of a symmetric and a skew-symmetric matrix.
Given, Then
X is a symmetric matrix.
Y is a skew symmetric matrix.
Now,
Hence, X + Y = A.