I am trying to prove that a real symmetric matrix is diagonalizable. I have seen a few proofs in which the matrix is only symmetric, but I am hoping to avoid some of the heavy machinery that is used in those proofs (such as the Gram-Schmidt process). Any reference to a proof would also be much appreciated.
2026-04-03 23:20:38.1775258438
Prove that real symmetric matrix is diagonalizable
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