If A is symmetric and all its eigenvalues are A = 2, how do you know that A must be 21

Chapter 6, Problem 32

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If A is symmetric and all its eigenvalues are A = 2, how do you know that A must be 21? (Key point: Symmetry guarantees that A is diagonalizable. See "Proofs of the Spectral Theorem" on web.mit.edu/18.06.)

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