Decomposition into symmetric and skew-symmetric parts for JEE

Formula

\[A=\frac{1}{2}(A+A^T)+\frac{1}{2}(A-A^T)\]

Variables: First term is symmetric, second term is skew-symmetric.

Conditions: Applicable to any square matrix over characteristic not equal to 2.

Expressing a matrix as sum of symmetric and skew-symmetric matrices.