Question: Prove that a diagonal matrix D = diag(d1,... , dn) is invertible if and only if all its diagonal entries are nonzero, in which case

Prove that a diagonal matrix D = diag(d1,... , dn) is invertible if and only if all its diagonal entries are nonzero, in which case D-l = diag(1/d1..........1/dn)
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