CH4#4-2 Coordinate systems Part II

WeekCourse ContentCourse Video
CH1#1 Matrices and VectorsWatch Online
CH1#2 Linear Combination, matrix-vector product, and special matricesWatch Online
CH1#3-1 System of linear equation PartIWatch Online
CH1#3-2 System of linear equation PartIIWatch Online
CH1#4-1 Gaussion elimination Part I
(a procedure for computing rref)
Watch Online
CH1#4-2 Gaussion elimination Part II
(a procedure for computing rref)
Watch Online
CH1#6-1 Span Part IWatch Online
CH1#6-2 Span Part IIWatch Online
CH1#7-1 Linearly independent sets and Linearly dependent sets Part IWatch Online
CH1#7-2 Linearly independent sets and Linearly dependent sets Part IIWatch Online
Ch2 Matrices & linear transformation
CH2#1 matrix multiplication
Watch Online
CH2#3 Invertible matrices and Elementary matricesWatch Online
CH2#3 Invertible matrices and Elementary matrices
CH2#4 Inverses Part I
Watch Online
CH2#3 Invertible matrices and Elementary matrices
CH2#4 Inverses Part II
Watch Online
CH2#7-1 Linearly transformation and matrices Part IWatch Online
CH2#7-2 Linearly transformation and matrices Part IIWatch Online
CH2#8-1 Composition and invertibility of linear tr Part IWatch Online
CH2#8-2 Composition and invertibility of linear tr Part IIWatch Online
CH3 Determinants
CH3#1Cofactor expansion
Watch Online
CH3#2-1 Properties of determinants Part IWatch Online
CH3#2-2 Properties of determinants Part IIWatch Online
CH4 Subspaces and PropertiesWatch Online
CH4#2-1 Basis and dimension Part IWatch Online
CH4#2-2 Basis and dimension Part IIWatch Online
CH4#2-3 Basis and dimension Part IIIWatch Online
CH4#3 Dimension of ColA, RowA, NullAWatch Online
CH4#4-1 Coordinate systems Part IWatch Online
CH4#4-2 Coordinate systems Part IIWatch Online
CH4#5 Matrix representation
of linear operator
Watch Online
CH5 Eigen values, eigen vectors and diagonalizationWatch Online
CH5#2-1 Characteristic Polynomials Part IWatch Online
CH5#2-2 Characteristic Polynomials Part IIWatch Online
CH5#3 Diagonalization of
matrices
Watch Online
CH6 Orthogonality
CH6#1-1 Geometry of vectors Part I
Watch Online
CH6#1-2 Geometry of vectors Part IIWatch Online
CH6#2-1 Orthogonal Vectors (orch) Part IWatch Online
CH6#2-2 Orthogonal Vectors (orch) Part IIWatch Online
CH6#3-1 Orth. Projection Part IWatch Online
CH6#3-2 Orth. Projection Part IIWatch Online
CH6#4-1 Least-squares approximation and o.p. matrices Part IWatch Online
CH6#4-2 Least-squares approximation and o.p. matrices Part IIWatch Online
CH6#5-1 Orth. matrices Part IWatch Online
CH6#5-2 Orth. matrices Part IIWatch Online
CH6#6-1 Symmetric matrices Part IWatch Online
CH6#6-2 Symmetric matrices Part IIWatch Online
CH6#7-0 Singular value decomposition (SVD) short storyWatch Online
CH6#7-1 Singular value decomposition Part IWatch Online
CH6#7-2 Singular value decomposition Part IIWatch Online
Ch6#6-8 Principal component analysis Part IWatch Online
Ch6#6-8 Principal component analysis Part IIWatch Online
CH7 Vector spaces
CH 7#1-1 Vector spaces and their subspace Part I
Watch Online
CH 7#1-2 Vector spaces and their subspace Part IIWatch Online
CH 7#2 Linear transformationsWatch Online
CH 7#3-1 Basis and Dimensions Part IWatch Online
CH 7#3-2 Basis and Dimensions Part IIWatch Online
CH 7#4-1 Matrix representation of linear operator Part IWatch Online
CH 7#4-2 Matrix representation of linear operator Part IIWatch Online
CH 7#5-1 Inner product space Part IWatch Online
CH 7#5-2 Inner product space Part IIWatch Online