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Find a unitary matrix which is not orthogonal and an orthogonal matrix which is not unitary.

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This is for #1 section 8.4 in Hoffman and Kunze's Linear Algebra book. Any help and detailed explanations will be greatly appreciated!

Find a unitary matrix which is not orthogonal and an orthogonal matrix which is not unitary.

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A unitary matrix which is not orthogonal and an orthogonal matrix which is not unitary are found. The solution is detailed and well presented.

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The definitions of unitary and orthogonal matrices must be in your books or notebooks, and you also can find them on web pages ...

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