| week | topics | materials | |
| planned | done | ||
| 1 |
Introduction to linear algebra - Vectors |
p01 | |
| 2 |
Systems of linear equations - Solving systems of linear equations - Gaussian elimination |
p02 | |
| 3 |
Systems of linear equations - Gaussian elimination - Spanning sets and linear independence |
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| 4 |
Matrices - Matrix operations - Inverse matrices |
||
| 5 |
Matrices - Inverse matrices - (LU factorization) |
p03 | |
| 6 |
Matrices - Subspaces, dimensions, and rank - Linear transformations |
||
| 7 | Midterm exam | ||
| 8 |
Eigenvalues and eigenvectors - Determinants |
||
| 9 |
Eigenvalues and eigenvectors - Determinants - Similarity and diagonalization |
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| 10 |
Eigenvalues and eigenvectors - Similarity and diagonalization |
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| 11 |
Orthogonality - QR factorization |
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| 12 | Make-up week | ||
| 13 |
Distance and approximation - Least square approximation |
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| 14 |
Distance and approximation - Least square approximation |
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| 15 | Advanced linear algebra | ||
| 16 | Final exam | ||