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Let A be an n × n-matrix. Show that there exist B, C such that B...

Let A be an n × n-matrix. Show that there exist B, C such that B is symmetric, C is skew-symmetric, and A = B + C. (Recall: C is called skew-symmetric if C + C^T = 0.) Remark: Someone answered this question but I don't know if it's right so please don't copy his solution

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