prove that any square matrix can be expressed uniquely as the sun of symmetric matrix and skew symmetric matrix.find the invese of the matrix
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Theorem 2. Any Square matrix can be expressed as the sum of a symmetric and a skew-symmetric matrix. Proof: Let A be a square matrix then, we can write A = 1/2 (A + A′) + 1/2 (A − A′). ... Thus, any square matrix can be expressed as the sum of a symmetric and a skew-symmetric matrix.
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