Instructor: Felix Leditzky
Course homepage: https://felixleditzky.info/teaching/FT21/MATH416_linear_algebra.html
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Contents: Determinant formulas
MATH 416 Abstract Linear Algebra: Lecture 40
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Contents: Existence and uniqueness of the determinant
MATH 416 Abstract Linear Algebra: Lecture 39
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Contents: Determinant of matrices and operators
MATH 416 Abstract Linear Algebra: Lecture 38
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Contents: Trace of matrices and operators
MATH 416 Abstract Linear Algebra: Lecture 37
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Contents: Jordan normal form
MATH 416 Abstract Linear Algebra: Lecture 36
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Contents: Characteristic and minimal polynomial
MATH 416 Abstract Linear Algebra: Lecture 35
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Contents: Generalized eigenspaces and multiplicities of eigenvalues
MATH 416 Abstract Linear Algebra: Lecture 34
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Contents: Generalized eigenvectors and nilpotent operators
MATH 416 Abstract Linear Algebra: Lecture 33
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Contents: Positive operators and isometries
MATH 416 Abstract Linear Algebra: Lecture 31
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Contents: Polar decomposition and singular value decomposition
MATH 416 Abstract Linear Algebra: Lecture 32
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Contents: Spectral theorems
MATH 416 Abstract Linear Algebra: Lecture 30
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Contents: Self-adjoint and normal operators
MATH 416 Abstract Linear Algebra: Lecture 29
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Contents: Adjoint maps
MATH 416 Abstract Linear Algebra: Lecture 28
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Contents: Orthogonal projections
MATH 416 Abstract Linear Algebra: Lecture 27
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Contents: Orthogonal complement
MATH 416 Abstract Linear Algebra: Lecture 26
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Contents: Orthonormal bases, Gram-Schmidt procedure
MATH 416 Abstract Linear Algebra: Lecture 25
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Contents: Inequalities in inner product spaces
MATH 416 Abstract Linear Algebra: Lecture 24
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Contents: Inner product spaces
MATH 416 Abstract Linear Algebra: Lecture 23
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Contents: Eigenspaces and diagonalization
MATH 416 Abstract Linear Algebra: Lecture 22
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Contents: Existence of eigenvalues and upper-triangular matrices
MATH416 Abstract Linear Algebra: Lecture 21
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Contents: Invariant subspaces, eigenvalues, eigenvectors
MATH416 Abstract Linear Algebra: Lecture 20
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Contents: Rank of a matrix
MATH 416 Abstract Linear Algebra: Lecture 19
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Contents: Quotient spaces
MATH 416 Abstract Linear Algebra: Lecture 18
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Contents: Invertibility and basis change
MATH 416 Abstract Linear Algebra: Lecture 17
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Contents: Invertibility of matrices and elementary matrices
MATH 416 Abstract Linear Algebra: Lecture 15
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Contents: Invertibility of linear maps and isomorphic vector spaces
MATH 416 Abstract Linear Algebra: Lecture 16
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Contents: Matrix multiplication
MATH 416 Abstract Linear Algebra: Lecture 14
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Contents: Linear maps as matrices
MATH 416 Abstract Linear Algebra: Lecture 13
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Contents: Fundamental theorem of linear algebra
MATH 416 Abstract Linear Algebra: Lecture 12
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Contents: Kernel and image of linear maps
MATH 416 Abstract Linear Algebra: Lecture 11
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