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 |
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5 |
Matrices - Inverse matrices - (LU factorization) |
p03 | |

6 |
Matrices - Subspaces, dimensions, and rank - Linear transformations |
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7 | Midterm exam | ||

8 |
Eigenvalues and eigenvectors - Determinants |
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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 | ||