Exercice 5. Let A be any square matrix with order n. We define A to be skew symmetric if A' = -A. 1. Show that A + A' is
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Exercice 5. Let A be any square matrix with order n. We define A to be skew symmetric if A' = -A. 1. Show that A + A' is symmetric and A-A' is skew symmetric. 2. Prove that there is one and only one way to write A as the sum of a symmetric matrix and a skew-symmetric matrix.
advanced algebraplease solve the Exercice 5. Let A be any square matrix with order n. We define A to be skew symmetric if A' = -A. 1. Show that A + A' is symmetric and A-A' is skew symmetric. 2. Prove that there is one and only one way to write A as the sum of a symmetric matrix and a skew-symmetric matrix.