Let $H$ be the subset of all 3x3 matrices that satisfy $A^T$ = $-A$. Carefully prove that $H$ is a subspace of $M_{3x3} $ . Then find a basis for $H$.

I would not only like to know the answer, but how you tackled this problem. The solution should not be too complex or jargon-dominated, as this is for an intro-level LA class


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  • Please see the attached file for a basis for H.

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The answer is accepted.