Let A be an n n matrix and let B = A + AT and C = A AT (a) Show that B is symmetric and
Chapter 1, Problem 30(choose chapter or problem)
Let A be an n n matrix and let B = A + AT and C = A AT (a) Show that B is symmetric and C is skew symmetric. (b) Show that every n n matrix can be represented as a sum of a symmetric matrix and a skew-symmetric matrix. 3
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