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 | 1,3,7,13,17,19 | Linear Systems |

1.2 | 4ac,6b,7a | Matrices |

1.3 | 1b,3,5a,7,9,13,15,20a,T.1 | Matrix Multiplication |

1.4 | 8ab,10,15,T.8,T.18 | Properties of Matrix Multiplication |

1.5 | 1,6,13,15,21,23 | Solving Linear Systems |

1.6 | 1,5ab,7c,13 | Inverse of a Matrix |

3.1 | 11,13 | Determinants |

4.1 | 3,5c,9a,11b,13,19ab,21cd,26 | Vectors in the Plane |

4.2 | 1a,3a,8ab,9,11ac,13a,15,21a,27a,T.5 | Vectors in Dimensions |

4.3 | 1,5,13,14a,17 | Linear Transformations |

5.3 | 3,5b,9a,15,17 | Lines and Planes |

6.1 | 1,3,11,15 | Vector Spaces |

6.2 | 1,3,5,13a | Subspaces |

6.3 | 1ab,4bc,7,12ac | Linear Independence |

6.4 | 1ab,4b,7,9a,17,19,21 | Bases and Dimension |

6.5 | 3,5,11,13,17 | Homogeneous Systems |

6.6 | 1,5a,9,13,16,17,19 | Rank of a Matrix |

6.7 | 1,3,5,7,9,13,20 | Change of Basis |

6.8 | 1a,3,5,7 | Orthonormal Bases |

8.1 | 1,3,7,9 | Eigenvalues and eigenvectors |

8.2 | 1,5,9,14 | Diagonalization |

8.3 | 1,5 | Diagonalization of Symmetric Matrices |

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