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This chapter contains a review of the basics of linear algebra: the solution of linear equations, matrix inversion, determinants, transformations, invariants, eigenvalues, and diagonalizability.
32.1 Linear Equations
32.2 Matrices
32.4 More on Determinants
32.5 Matrices and Transformations
32.6 Invariants of Transformations
32.7 Other Notions of Diagonalizability
32.8 Computing Eigenvalues and Eigenvectors
32.9 Application to Quadratic Forms and Spring Systems
32.10 Computing Eigenvalues and Eigenvectors on a Spreadsheet
32.11 Guessing Eigenvectors