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Previous screen records of online classes are collected on Youtube channel.
Previous lecture slides are collected in one pdf file.
Previous lecture slides (2022 spring)
LinearTransformation.pdfLinear Transformation
Linear Transformation
Textbook Sections 1.8-1.9
LinearTransformationTheorems.pdfLinear Transformation Theorems
Linear Transformation Theorems
Textbook Section 1.9
Inverse.pdfMatrix Operations & Inverse matrix
Matrix Operations & Inverse matrix
Textbook Sections 2.1-2.3
GaussianElimination.pdfGaussian Elimination & Linear Combination
Gaussian Elimination & Linear Combination
Textbook Sections 1.1-1.4
LUFactorization.pdfLU Factorization
LU Factorization
Textbook Section 2.5
LinearIndependence.pdfLinear Independence
Linear Independence
Textbook Sections 1.5 and 1.7
ApplicationOfLinearAlgebra.pdfApplications of Linear Algebra
Applications of Linear Algebra
Supplemental, not for exams
ColumnAndNullSpace.pdfColumn space & Null space
Column space & Null space
Textbook Section 2.8
BasisAndCoordinates.pdfBasis & Coordinate
Basis & Coordinate
Textbook Section 2.9
FourSubspaces.pdfFour fundamental subspaces
Four fundamental subspaces
Supplemental
Determinants.pdfDeterminants
Determinants
Textbook Sections 3.1-3.3
EigenvalueAndEigenvector.pdfEigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
Textbook Sections 5.1-5.2
Diagonalization.pdfDiagonalization
Diagonalization
Textbook Section 5.3
ApplicationOfEigenSystem.pdfApplications of diagonalization
Applications of diagonalization
supplemental, not for exams
Orthogonality.pdfOrthogonality
Orthogonality
Textbook Sections 6.1-6.2
OrthogonalProjection.pdfOrthogonal Projection
Orthogonal Projection
Textbook Section 6.3
GramSchmidtProcess.pdfGram-Schmidt Process
Gram-Schmidt Process
Textbook Section 6.4
LeastSquaresProblems.pdfLeast-Squares Problems
Least-Squares Problems
Textbook Section 6.5
SymAndQuadForms.pdfSymmetric Matrices Diagonalization & Quadratic Form
Symmetric Matrices Diagonalization & Quadratic Form
Textbook Sections 7.1-7.2
MaximumMinimumSaddlePoint.pdfMinimum, Maximum, and Saddle Point
Minimum, Maximum, and Saddle Point
Supplemental, not for exams
ApplicationOfSymAndQuadraticForm.pdfSVD & Applications of Symmetric Matrices
SVD & Applications of Symmetric Matrices
Supplemental, not for exams
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