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| Vectors in R[superscript n] | p. 1 |
| Algebra of Matrices | p. 7 |
| Systems of Linear Equations | p. 27 |
| Vector Spaces | p. 57 |
| Inner Product Spaces; Orthogonality | p. 81 |
| Determinants | p. 92 |
| Diagonalization: Eigenvalues and Eigenvectors | p. 107 |
| Linear Mappings | p. 124 |
| Canonical Forms | p. 146 |
| List of Symbols | p. 154 |