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Line 255: ;[[QR decomposition\|{{mvar\|QR}} decomposition]] : {{math\|1=''M'' = ''QR''}}, {{mvar\|Q}} orthogonal, {{mvar\|R}} upper triangular ;[[Singular value decomposition]] : {{math\|1=''M'' = ''~~UΣV~~U''Σ''V''<sup>T</sup>}}, {{mvar\|U}} and {{mvar\|V}} orthogonal, {{~~mvar~~math\|Σ}} diagonal matrix ;[[Eigendecomposition of a matrix\|Eigendecomposition of a symmetric matrix]] (decomposition according to the [[spectral theorem]]) : {{math\|1=''S'' = ''~~QΛQ~~Q''Λ''Q''<sup>T</sup>}}, {{mvar\|S}} symmetric, {{mvar\|Q}} orthogonal, {{~~mvar~~math\|Λ}} diagonal ;[[Polar decomposition]] : {{math\|1=''M'' = ''QS''}}, {{mvar\|Q}} orthogonal, {{mvar\|S}} symmetric positive-semidefinite

Orthogonal matrix: Difference between revisions