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Linear Algebra: Show that the set of all 2 x 2 diagonal matrices is a subspace...

Linear Algebra: Show that the set of all 2 x 2 diagonal matrices is a subspace of M 2x2.

I know that a diagonal matrix is a square of n x n matrix whose nondiagonal entries are zero, such as the n x n identity matrix.

But could you explain every step of how to prove that this diagonal matrix is a subspace of M 2x2.

Thanks.

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