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

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

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

(ii) Show that E ∈ Mat(2; ℚ) is a basis of U. (E: identity matrix)

(iii) Find the complement for U

Expert Solution

Colby Messinger answered 2 years ago

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

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