Question: If A is an n n matrix whose eigenvalues are all nonzero, then A is nonsingular. In the case of a true statement, explain

If A is an n × n matrix whose eigenvalues are all nonzero, then A is nonsingular.
In the case of a true statement, explain or prove your answer. In the case of a false statement, give an example to show that the statement is not always true.

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