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  3. let u = {a ? mat(2; ?) : ab = ba for all b ?...

Let U = {A ? Mat(2; ?) : AB = BA for all B ?...

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Advance Math

Let U = {A ? Mat(2; ?) : AB = BA for all B ? Mat(2; ?)}.

(i) Show that  U is a subspace of Mat(2; ?).

(ii) Show that E ? Mat(2; ?) is a basis of U. (E: identitymatrix)

(iii) Find the complement for U

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