Note: The ``T'' problems are theoretical problems. Working these problems will be very beneficial to your understanding of the subject. However, they will not be chosen for grading.

Section | Exercises | Topic |

1.1 | 1,5,9,11,15,19,21,23 | Linear Systems |

1.2 | 3,5d,7b | Matrices |

1.3 | 1c,3,5ab,7,9,13,15,27,29 | Matrix Multiplication |

1.4 | 3,9b,11,13a,15,T10a,T17,T23,T27 | Properties of Matrix Multiplication |

1.5 | 1,7,9ab,11,15b,19,21,23 | Solving Linear Systems |

1.6 | 1,5b,7a,9b,11,13,18,19,T3,T5,T8 | Inverse of a Matrix |

2.1 | 11,15a | Determinants |

3.1 | 5,11b,13,21ab | Vectors in the Plane |

3.2 | 1,13b,15,17,21b,23,T5 | Vectors in n Dimensions |

3.3 | 1,3,5,9,11,13,17,21 | Linear Transformations |

3.6 | 3,5a,6a,9b,11a,17 | Lines and Planes |

4.1 | 1,2,3,5,11,15,17 | Vector Spaces |

4.2 | 1,3,5,11,15,17,19,21c | Subspaces |

4.3 | 2,5,7,9,11c,14,T1 | Linear Independence |

4.4 | 1,5,7,9,11,17,19,21 | Bases and Dimension |

4.5 | 1,5,9,11,13,15 | Homogeneous Systems |

4.6 | 1,3,11,13,19,20,21,29 | Rank of a Matrix |

4.7 | 2,3,4,7,9,13,19,T1,T2 | Change of Basis |

4.8 | 1b,2a,3,5,9,15 | Orthonormal Bases |

5.1 | 1,5,7,11,19,23 | Diagonalization |

5.2 | 2a,5,9,11,13,17 | Diagonalization of Symmetric Matrices |

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