標題:
Matrix questions help
發問:
1 a)Prove that if A is an n x n matrix, then B = A+A’ is symmetric b) Prove that if A and B are n x n symmetric matrices, then AB is symmetric if and only if AB = BA Can someone pls help. Thanks~
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其他解答:
Matrix questions help
發問:
1 a)Prove that if A is an n x n matrix, then B = A+A’ is symmetric b) Prove that if A and B are n x n symmetric matrices, then AB is symmetric if and only if AB = BA Can someone pls help. Thanks~
最佳解答:
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1 a)Prove that if A is an n x n matrix, then B = A+A’ is symmetric The (i,j) element of B is bij=aij+aji The (i,j) element of B' is b'ij=bji=aji+aij So bij=b'ij B = A+A’ is symmetric (b) if AB is symmetric AB=(AB)' So AB=B'A'=BA (A and B are n x n symmetric matrices) Conversly if AB=BA AB=B'A' (A and B are n x n symmetric matrices) AB=(AB)' Shows that AB is symmetric其他解答:
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