If we don't cover a section completely, the comments column below will indicate this, but this may also change as the term progresses.

If a question number is a hyperlink, then clicking on the link will provide more information about the question.

**
In order to become familiar with the
material, you will probably have to solve more exercises than the ones given below.
(Recall that the questions in quizzes and exams will not simply be
these exercises with changed numbers!)
**

Section | Exercises | Comments |
---|---|---|

Section 1.1 | 1, 3, 5, 7, 9, 11, 13, 17, 21, 29, 33, 39, 43, 53, 55 | the dot product is defined in Section 1.2 |

Section 1.2 | 3, 9, 15, 17, 19, 25, 33, 35, 41, 43, 47, 49, 66 | |

Section 1.3 | 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 27, 29, 31, 33 | |

Cross products | 1, 2, 4, 8(c) | know the properties listed in Ex. 5 (but not Ex. 6) |

Section 1.5 | 1, 3, 5, 7, 9, 13, 17, 21 | see pages 620-625 in the full edition |

Section 2.1 | 1, 3, 9, 11, 13, 15, 17, 21, 23, 29, 31, 37,43 | |

Section 2.2 | 5, 7, 9, 11, 15, 21, 23, 29, 31, 33, 35, 37, 41, 45, 47, 49, 55, 57 | |

Section 2.3 | 1, 5, 11, 15, 19, 23, 25, 27, 29, 33, 35, 37 | |

Section 2.4 | 15, 17 | only network analysis (no electrical networks) |

Section 3.1 | 1, 7, 9, 13, 15, 17, 21, 35, 38(a), 39 | no partitioned matrices |

Section 3.2 | 3, 5, 7, 13, 15, 23, 27 | |

Section 3.3 | 1, 3, 9, 11, 13, 23, 25, 27, 31, 33, 35, 39, 53, 55, 57, 63 | |

Section 3.5 | 3, 7, 11, 15, 19, 23, 25, 29, 31, 37, 39, 41, 45, 49, 51, 55 | |

Section 3.6 | 20, 21, 40 (look at 38(a) in Sec. 3.1 if you're stuck) | only rotations, their compositions and inverses |

Section 3.7 | 5-9 | only Markov chains |

Section 4.1 | 5, 7, 11, 13, 21, 23, | |

Section 4.2 | 5, 9, 13, 23, 27, 29, 31, 33, 39, 45, 49, 51, 53, 57, 59, 61 | without the adjoint |

Section 4.3 | 1, 3, 5, 7, 9, 11, 15, 19, 23, 25 | |

Section 4.4 | 1, 3, 7, 9, 13, 15, 19, 21, 25, 39 | |

Section 5.1 | 3, 5, 7, 9, 13, 15, 17, 19, 21, 29, 31 | only check for rotations in Ex. 29 and 31 |

Section 5.2 | 1, 3, 5, 7, 9, 11, 13, 17, 21 | |

Section 5.3 | 1, 3, 5, 7, 9, 11, 13 | no QR factorization |

Section 5.4 | 3, 5, 9, 13, 21, 23 | not the projection form of the spectral theorem |