https://linear.axler.net/LADRvideos.html

                      Linear Algebra Done Right

                            Sheldon Axler

                               Videos

These videos should inform and entertain you, while providing insight
and motivation. Click on a link below to see a video about the
corresponding section of Linear Algebra Done Right (third edition)
[if you are in a country where YouTube is blocked, try this website
instead of the links below].

Each "slides" link gives a pdf file of the slides that accompany the
corresponding video. These slides are designed to be viewed in Adobe
Acrobat, not a web browser. For a single large pdf file containing
the slides (without dropdown features and with less red) for all 50
videos, click here.

  * Introduction
    slides (save and then open in Adobe Acrobat)

  * Section 1.A: R^n and C^n
    slides (save and then open in Adobe Acrobat)

  * Section 1.B: Definition of Vector Space
    slides (save and then open in Adobe Acrobat)

  * Section 1.C: Subspaces
    slides (save and then open in Adobe Acrobat)

  * Section 2.A: Span and Linear Independence
    slides (save and then open in Adobe Acrobat)

  * Section 2.B: Bases
    slides (save and then open in Adobe Acrobat)

  * Section 2.C: Dimension
    slides (save and then open in Adobe Acrobat)

  * Section 3.A: The Vector Space of Linear Maps
    slides (save and then open in Adobe Acrobat)

  * Section 3.B: Null Spaces and Ranges
    slides (save and then open in Adobe Acrobat)

  * Section 3.C: Matrices, part 1: The Matrix of a Linear Map
    slides (save and then open in Adobe Acrobat)

  * Section 3.C: Matrices, part 2: Matrix Multiplication
    slides (save and then open in Adobe Acrobat)

  * Section 3.D: Invertibility and Isomorphic Vector Spaces
    slides (save and then open in Adobe Acrobat)

  * Section 3.E: Products and Quotients of Vector Spaces, part 1:
    Products
    slides (save and then open in Adobe Acrobat)

  * Section 3.E: Products and Quotients of Vector Spaces, part 2:
    Quotients
    slides (save and then open in Adobe Acrobat)

  * Section 3.F: Duality, part 1: Dual Bases and Dual Maps
    slides (save and then open in Adobe Acrobat)

  * Section 3.F: Duality, part 2: Annihilators and the Matrix of a
    Dual Map
    slides (save and then open in Adobe Acrobat)

  * Chapter 4: Polynomials
    slides (save and then open in Adobe Acrobat)

  * Section 5.A: Invariant Subspaces
    slides (save and then open in Adobe Acrobat)

  * Section 5.B: Eigenvectors and Upper-Triangular Matrices, part 1:
    Existence of Eigenvalues
    slides (save and then open in Adobe Acrobat)

  * Section 5.B: Eigenvectors and Upper-Triangular Matrices, part 2:
    Upper-Triangular Matrices
    slides (save and then open in Adobe Acrobat)

  * Section 5.C: Eigenspaces and Diagonal Matrices
    slides (save and then open in Adobe Acrobat)

  * Section 6.A: Inner Products and Norms, part 1: Inner Products
    slides (save and then open in Adobe Acrobat)

  * Section 6.A: Inner Products and Norms, part 2: Norms
    slides (save and then open in Adobe Acrobat)

  * Section 6.B: Orthonormal Bases
    slides (save and then open in Adobe Acrobat)

  * Section 6.C: Orthogonal Complements and Minimization Problems,
    part 1: Orthogonal Complements
    slides (save and then open in Adobe Acrobat)

  * Section 6.C: Orthogonal Complements and Minimization Problems,
    part 2: Minimization Problems
    slides (save and then open in Adobe Acrobat)

  * Section 7.A: Self-Adjoint and Normal Operators, part 1: Adjoints
    slides (save and then open in Adobe Acrobat)

  * Section 7.A: Self-Adjoint and Normal Operators, part 2:
    Self-Adjoint Operators
    slides (save and then open in Adobe Acrobat)

  * Section 7.A: Self-Adjoint and Normal Operators, part 3: Normal
    Operators
    slides (save and then open in Adobe Acrobat)

  * Section 7.B: The Spectral Theorem
    slides (save and then open in Adobe Acrobat)

  * Section 7.C: Positive Operators and Isometries, part 1: Positive
    Operators
    slides (save and then open in Adobe Acrobat)

  * Section 7.C: Positive Operators and Isometries, part 2:
    Isometries
    slides (save and then open in Adobe Acrobat)

  * Section 7.D: Polar Decomposition and Singular Value
    Decomposition, part 1: Polar Decomposition
    slides (save and then open in Adobe Acrobat)

  * Section 7.D: Polar Decomposition and Singular Value
    Decomposition, part 2: Singular Value Decomposition
    slides (save and then open in Adobe Acrobat)

  * Section 8.A: Generalized Eigenvectors and Nilpotent Operators,
    part 1: Null Spaces of Powers of an Operator
    slides (save and then open in Adobe Acrobat)

  * Section 8.A: Generalized Eigenvectors and Nilpotent Operators,
    part 2: Generalized Eigenvectors
    slides (save and then open in Adobe Acrobat)

  * Section 8.A: Generalized Eigenvectors and Nilpotent Operators,
    part 3: Nilpotent Operators
    slides (save and then open in Adobe Acrobat)

  * Section 8.B: Decomposition of an Operator, part 1: Decomposition
    Via Generalized Eigenvectors
    slides (save and then open in Adobe Acrobat)

  * Section 8.B: Decomposition of an Operator, part 2: Block Diagonal
    Matrices
    slides (save and then open in Adobe Acrobat)

  * Section 8.B: Decomposition of an Operator, part 3: Square Roots
    of Operators
    slides (save and then open in Adobe Acrobat)

  * Section 8.C: Characteristic and Minimal Polynomials, part 1: The
    Characteristic Polynomial
    slides (save and then open in Adobe Acrobat)

  * Section 8.C: Characteristic and Minimal Polynomials, part 2: The
    Minimal Polynomial
    slides (save and then open in Adobe Acrobat)

  * Section 8.D: Jordan form
    slides (save and then open in Adobe Acrobat)

  * Section 9.A: Complexification
    slides (save and then open in Adobe Acrobat)

  * Section 9.B: Operators on Real Inner Product Spaces, part 1:
    Normal Operators
    slides (save and then open in Adobe Acrobat)

  * Section 9.B: Operators on Real Inner Product Spaces, part 2:
    Isometries
    slides (save and then open in Adobe Acrobat)

  * Section 10.A: Trace, part 1: Change of Basis
    slides (save and then open in Adobe Acrobat)

  * Section 10.A: Trace, part 2: Trace of an Operator and of a Matrix
    slides (save and then open in Adobe Acrobat)

  * Section 10.B: Determinant, part 1: Determinant of an Operator and
    of a Matrix
    slides (save and then open in Adobe Acrobat)

  * Section 10.B: Determinant, part 2: Change of Variables in
    Integration in R^n
    slides (save and then open in Adobe Acrobat)

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