Let H be the subset of all skew-symmetric matrices in M3x3 a.) prove that H is a...

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Let H be the subset of all skew-symmetric matrices inM3x3

a.) prove that H is a subspace of M3x3 by checkingall three conditions in the definition of subspace.

b.) Find a basis for H. Prove that your basis is actually abasis for H by showing it is both linearly independent and spansH.

c.) what is the dim(H)

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