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Preface
Prologue
Volume 0 — The Array and the Machine
0.1 Arrays, Shapes, and Vectorization
0.2 Floating-Point Reality and the Tolerance Habit
0.3 Vectors: Geometry, Norms, and Inner Products
Volume I — Matrices, Elimination, and Subspaces
1.1 Matrices as Linear Maps: Four Ways to Multiply
1.2 Elimination, Pivoting, and A = LU
1.3 Inverses, Rank, and A = CR
1.4 The Four Fundamental Subspaces
1.5 Vector Spaces, Bases, and Coordinates
1.6 Linear Maps and Change of Basis
1.7 Determinants, Volume, and Orientation
Volume II — Orthogonality and Least Squares
2.1 Projections and the Normal Equations
2.2 Gram–Schmidt, QR, Householder, and Givens
2.3 Least Squares Four Ways
Afterword
Repository
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