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QUESTION

Suppose V is a nonzero fifinite dimensional inner product space, T : V → V is a linear operator, M is the largest singular value of T, and λ is an eigenvalue of T. Prove that |λ| ≤ M

Suppose V is a nonzero fifinite dimensional inner product space, T : V → V

is a linear operator, M is the largest singular value of T, and λ is an eigenvalue of T.

Prove that |λ| ≤ M

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