Linear Algebra II
Online Course/Slides
Instructor:
Dr. Aaron Naiman
<naiman@math.jct.ac.il>
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About the course
Change log
13-week lesson plan
Course — detailed outline
Vector Spaces
(4.5) The Dimension of a Vector Space
(4.6) Rank
(4.7) Change of Basis
(4.8) Applications to Difference Equations
(4.9) Applications to Markov Chains
Eigenvalues and Eigenvectors
(5.1) Eigenvectors and Eigenvalues
(5.2) The Characteristic Equation
(5.3) Diagonalization
(5.4) Eigenvectors and Linear Transformations
(5.5) Complex Eigenvalues
(5.6) Discrete Dynamical Systems
(5.8) Iterative Estimates for Eigenvalues
Orthogonality and Least Squares
(6.1) Inner Product, Length, and Orthogonality
(6.2) Orthogonal Sets
(6.3) Orthogonal Projections
(6.4) The Gram-Schmidt Process
(6.5) Least-Squares Problems
(6.6) Applications to Linear Models
(6.7) Inner Product Spaces
(6.8) Applications of Inner Product Spaces
Symmetric Matrices and Quadratic Forms
(7.1) Diagonalization of Symmetric Matrices
(7.2) Quadratic Forms
(7.3) Constrained Optimization
(7.4) The Singular Value Decomposition