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MATH 133 (138)
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Department
Mathematics & Statistics (Sci)
Course
MATH 133
Professor
Hameed A.Mirza
Semester
Fall

Description
1NOTESFORLINEARALGEBRA133WilliamJAndersonMcGillUniversityThesearenotocialnotesforMath133TheyareintendedforAndersonssection4andareidenticaltothenotesprojectedinclass2Contents1LinearEquationsandMatrices511LinearEquations512HomogeneousSystems1213Matrices1314MatrixInverses1715ElementaryMatrices2016BlockMultiplicationofMatrices222DeterminantsandEigenvalues2321Determinants2322Eigenvalues303VectorGeometry3531CoordinateFreeandCoordinateApproachestoGeometry35311CoordinateFreeGeometry3532DotProductandProjections3833LinesandPlanes41331Lines41332Planes4234TheCrossProduct45235MatrixTransformationsofR48351CompositeofTransformations52352InverseofaMatrixTransformation53n4TheVectorSpaceR5541Subspaces5542LinearIndependence58421InvertibilityofMatrices59422LinearDependence6143Dimension61431ExistenceofBases6344Rank64441TheRankTheorem65442NullSpaceandImageSpace683
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