Let A be an n×n matrix. Then Show that the set, U={u ϵ Rn : Au = - 3un} is a Subspace of Rn.

Feb 3rd, 2012
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Let A be an n×n matrix. Then Show that the set, U={u ϵ Rn : Au = - 3un} is a Subspace of Rn.

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Answer on Question #43815 Math Linear AlgebraLet A be an nn matrix. Then Show that the set, U={u Rn : Au = - 3un} is a Subspace of Rn.Solution.Let V be a vector space over field K. Suppose that W is a subset of V. If W is a vector space itself(which means that it is closed under ope

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