Question: Let L: Rn Rn be a linear operator and S = {v1, V2,..., v} an orthonormal basis for Rn. Prove that L is an

Let L: Rn → Rn be a linear operator and S = {v1, V2,..., v"} an orthonormal basis for Rn. Prove that L is an isometry if and only if T = (L(v1), L(v2),..., L(v")} is an orthonormal basis for Rn?

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