Instructor: Felix Leditzky
Course homepage: https://felixleditzky.info/teaching/FT21/MATH416_linear_algebra.html
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From Felix Leditzky
56 plays 0Contents: Determinant formulas -
From Felix Leditzky
44 plays 0Contents: Existence and uniqueness of the determinant -
From Felix Leditzky
44 plays 0Contents: Determinant of matrices and operators -
From Felix Leditzky
53 plays 0Contents: Trace of matrices and operators -
From Felix Leditzky
69 plays 0Contents: Jordan normal form -
From Felix Leditzky
66 plays 0Contents: Characteristic and minimal polynomial -
From Felix Leditzky
64 plays 0Contents: Generalized eigenspaces and multiplicities of eigenvalues -
From Felix Leditzky
70 plays 0Contents: Generalized eigenvectors and nilpotent operators -
From Felix Leditzky
65 plays 0Contents: Positive operators and isometries -
From Felix Leditzky
58 plays 0Contents: Polar decomposition and singular value decomposition -
From Felix Leditzky
64 plays 0Contents: Spectral theorems -
From Felix Leditzky
60 plays 0Contents: Self-adjoint and normal operators -
From Felix Leditzky
71 plays 0Contents: Adjoint maps -
From Felix Leditzky
67 plays 0Contents: Orthogonal projections -
From Felix Leditzky
65 plays 0Contents: Orthogonal complement -
From Felix Leditzky
80 plays 0Contents: Orthonormal bases, Gram-Schmidt procedure -
From Felix Leditzky
76 plays 0Contents: Inequalities in inner product spaces -
From Felix Leditzky
89 plays 0Contents: Inner product spaces -
From Felix Leditzky
75 plays 0Contents: Eigenspaces and diagonalization -
From Felix Leditzky
97 plays 1Contents: Existence of eigenvalues and upper-triangular matrices -
From Felix Leditzky
94 plays 0Contents: Invariant subspaces, eigenvalues, eigenvectors -
From Felix Leditzky
78 plays 0Contents: Rank of a matrix -
From Felix Leditzky
95 plays 0Contents: Quotient spaces -
From Felix Leditzky
87 plays 0Contents: Invertibility and basis change -
From Felix Leditzky
109 plays 1Contents: Invertibility of matrices and elementary matrices -
From Felix Leditzky
88 plays 0Contents: Invertibility of linear maps and isomorphic vector spaces -
From Felix Leditzky
86 plays 0Contents: Matrix multiplication -
From Felix Leditzky
107 plays 0Contents: Linear maps as matrices -
From Felix Leditzky
95 plays 0Contents: Fundamental theorem of linear algebra -
From Felix Leditzky
95 plays 0Contents: Kernel and image of linear maps