| 1 |
Systems of Linear Equations |
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| 2 |
Echelon Form |
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| 3 |
Matrices |
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| 4 |
Matrices (cont.) |
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| 5 |
Solution Spaces |
Problem set 1 due |
| 6 |
Inverses and Transposes |
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| 7 |
Fields and Spans |
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| 8 |
Vector Spaces |
Problem set 2 due |
| 9 |
Linear Independence |
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| 10 |
Basis and Dimension |
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| 11 |
Coordinates |
Problem set 3 due |
| 12 |
Review for Quiz 1 |
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| 13 |
Quiz 1 (Chapters 0-1) |
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| 14 |
Determinants |
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| 15 |
Permutations |
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| 16 |
Determinants (cont.) |
Problem set 4 due |
| 17 |
Laplace Expansion |
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| 18 |
Review for Quiz 2 |
Problem set 5 due |
| 19 |
Quiz 2 (Chapter 2) |
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| 20 |
Linear Transformations |
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| 21 |
Rank, Kernel, Image |
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| 22 |
Matrix Representations |
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| 23 |
Eigenspaces |
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| 24 |
Eigenspaces (cont.) |
Problem set 6 due |
| 25 |
Diagonalization |
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| 26 |
Cayley-Hamilton Theorem |
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| 27 |
Jordan Canonical Form |
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| 28 |
Review for Quiz 3 |
Problem set 7 due |
| 29 |
Quiz 3 (Chapter 3) |
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| 30 |
Computing Generalized Eigenvectors |
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| 31 |
Norms and Inner Products |
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| 32 |
Norms and Inner Products (cont.) |
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| 33 |
Orthogonal Bases |
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| 34 |
Orthogonal Projections |
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| 35 |
Isometries, Spectral Theory |
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| 36 |
Singular Value Decomposition |
Problem set 8 due |
| 37 |
Polar Decomposition |
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| 38 |
Review for the Final |
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