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5.4.2DiagonalizationofRealSymmetricMatricesTheoremIfisaorderrealsymmetricmatrix,thereisaorthogonalmatrix,makes,whereisadiagonalmatrixwhosediagonalelementsareeigenvaluesof.ProofLine:Reviewfor𝑝𝑖1,𝑝𝑖2,⋯,𝑝𝑖𝑟𝑖⟶𝑞𝑖1,𝑞𝑖2,⋯,𝑞𝑖𝑟𝑖⟶𝑃=(𝑞11,𝑞12,⋯,𝑞1𝑟1,⋯⋯,𝑞𝑠1,𝑞𝑠2,⋯,𝑞𝑠𝑟𝑠).Diagonalizationofsymmetricmatrixusingorthogonalmatrix1.Findtheeigenvaluesofasymmetricmatrix;2.Findth... 2024-06-082351.41 KB12页
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