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Introduction to Chapters 1-4
A note from the remixer
Chapter 1 Overview
1.1 What Can We Expect
1.2 Finding Solutions to Linear Equations
1.3 Computation with Sage
1.4 Pivots and their Influence on Solution Spaces
2.1 Vectors and Linear Combinations
2.2 Matrix Multiplication & Linear Combinations
2.3 Span of a Set of Vectors
2.4 Linear independence
2.5 Matrix Transformations
2.6 Geometry of Matrix Transformations
3.1 Invertibility
3.2 Bases and Coordinate Systems
3.4 Determinants
3.5 Subspaces of R^p
4.1 An Introduction to eigenvalues and eigenvectors
4.2 Finding Eigenvalues and Eigenvectors
4.3 Diagonalization, Similarity, and Powers of a Matrix
4.4 Dynamical Systems
6.2 Orthogonal complements and the matrix transpose
6.3 Orthogonal bases and projections
6.5 Orthogonal least squares
7.1 Symmetric matrices and variance
7.2 Quadratic forms
7.3 Principal Component Analysis
Try out the Preview Activity and read Quadratic forms in Understanding Linear Algebra by David Austin.
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Math 220, Matrices Copyright © 2018 by Kristen Pueschel is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.