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MATH225 (3)

Orthogonality in Vector Space: Notes Done in LaTeX

47 Pages
144 Views

Department
Mathematics
Course Code
MATH225
Professor
Saeed Rahmati

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Description
Math225LinearAlgebraSaeedRahmatiSummer20112Contents1Orthogonality511InnerProductLengthandOrthogonality5111InnerProduct5112LengthorNormandUnitVector7n113DistanceinR10114Orthogonalvectors10115OrthogonalComplements1323116AnglesinRandR1812OrthogonalSets18121AnOrthogonalProjection22122OrthonormalSets2413OrthogonalProjections2614TheGramSchmidtProcess311401QRFactorizationofMatrices3415LeastSquaresProblems36151GoemetryofLeastSquareSolutions3816InnerProductSpaces4017ApplicationstoLinearModels4618InnerProductSpaces4619ApplicationsofInnerProductSpaces46110ImportantFormulasforthisChapter46111Review473
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