1.5 Linear dependence and linear independence Problem. A matrix A is diagonal if Aij = 0 whenever i ‡ j, that is, if all its nondiagonal entries are zero. (i) Prove that {A € Mnxn (F) | A is diagonal) is a subspace of Mnxn. (ii) Find a linearly independent set that generates this subspace. TI

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A: For false statement, we will provide a counterexample.

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