I need to prove the following.(adsbygoogle = window.adsbygoogle || []).push({});

1. A is a symmetric matrix, and x(transpose)*A*x=0 for all x (belongs to R^n) if and only if A=0.

2. x(transpose)*A*x=0 for all x (belongs to R^n), if and only if A is skew symmetric.

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# Symmetric Matrixes Thm

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