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make a video2. Linear Algebra - Spectral Decomposition Let A be a real symmetric n by n matrix. Prov

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Question: User: make a video2. Linear Algebra - Spectral Decomposition Let A be a real symmetric n by n matrix. Prove that A has an orthonormal basis of eigenvectors. Then apply the result to diagonalize the matrix below and compute A^10 efficiently. A = [[4, 1, 1], [1, 4, 1], [1, 1, 4]] graph shape: matrix displayed in a light gray box at center-left; position_hint = center