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Unformatted text preview: A t is symmetric. (2)Show that AA t is skewsymmetric. (3)Notice that A can be written as a sum of a symmetric and a skewsymmetric matrix A = 1 2 ( A + A t ) + 1 2 ( AA t ). Show that such an expression is unique: if A = B + C, where B is symmetric and C is skewsymmetric, then B and C are the matrices 1 2 ( A + A t ) and 1 2 ( AA t ).(Hint: if not, we get that a symmetric matrix equals a skewsymmteric matrix.) 1...
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 Spring '10
 SHALOM
 Linear Algebra, Algebra, Polynomials, Vector Space

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