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MATH 416 Abstract Linear Algebra: Lecture 38

Contents: Determinant of matrices and operators

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MATH 416 Abstract Linear Algebra: Lecture 37

Contents: Trace of matrices and operators

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MATH 416 Abstract Linear Algebra: Lecture 36

Contents: Jordan normal form

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MATH 416 Abstract Linear Algebra: Lecture 35

Contents: Characteristic and minimal polynomial

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MATH 416 Abstract Linear Algebra: Lecture 34

Contents: Generalized eigenspaces and multiplicities of eigenvalues

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MATH 416 Abstract Linear Algebra: Lecture 33

Contents: Generalized eigenvectors and nilpotent operators

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MATH 416 Abstract Linear Algebra: Lecture 31

Contents: Positive operators and isometries

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MATH 416 Abstract Linear Algebra: Lecture 32

Contents: Polar decomposition and singular value decomposition

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MATH 416 Abstract Linear Algebra: Lecture 30

Contents: Spectral theorems

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MATH 416 Abstract Linear Algebra: Lecture 29

Contents: Self-adjoint and normal operators

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MATH 416 Abstract Linear Algebra: Lecture 28

Contents: Adjoint maps

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MATH 416 Abstract Linear Algebra: Lecture 27

Contents: Orthogonal projections

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MATH 416 Abstract Linear Algebra: Lecture 26

Contents: Orthogonal complement

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MATH 416 Abstract Linear Algebra: Lecture 25

Contents: Orthonormal bases, Gram-Schmidt procedure

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MATH 416 Abstract Linear Algebra: Lecture 24

Contents: Inequalities in inner product spaces

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MATH 416 Abstract Linear Algebra: Lecture 23

Contents: Inner product spaces

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MATH 416 Abstract Linear Algebra: Lecture 22

Contents: Eigenspaces and diagonalization

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MATH416 Abstract Linear Algebra: Lecture 21

Contents: Existence of eigenvalues and upper-triangular matrices

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MATH416 Abstract Linear Algebra: Lecture 20

Contents: Invariant subspaces, eigenvalues, eigenvectors

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MATH 416 Abstract Linear Algebra: Lecture 19

Contents: Rank of a matrix

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MATH 416 Abstract Linear Algebra: Lecture 18

Contents: Quotient spaces

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MATH 416 Abstract Linear Algebra: Lecture 17

Contents: Invertibility and basis change

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MATH 416 Abstract Linear Algebra: Lecture 15

Contents: Invertibility of matrices and elementary matrices

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MATH 416 Abstract Linear Algebra: Lecture 16

Contents: Invertibility of linear maps and isomorphic vector spaces

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