(a) Prove that any square matrix A can be written asthe sum of a symmetric matrix and a

Chapter 3, Problem 3.2.43

(choose chapter or problem)

(a) Prove that any square matrix A can be written asthe sum of a symmetric matrix and a skewsymmetricmatrix. [Hint: Consider Theorem 3.5and Exercise 42.](b) Illustrate part (a) for the matrix A

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