Prove: Square Matrix Can Be Written As A Sum Of A Symmetric And Skew-Symmetric Matrices

If $A$ is a square matrix in $\mathcal M_n(\Bbb C)$ then $$A=\underbrace{\frac12(A+A^t)}_{\text{symmetric matrix}}+\underbrace{\frac12(A-A^t)}_{\text{skew-symmetric matrix}}$$

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Linear Algebra

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