Note: recommended problems will be graded (i.e. checked), but the points will not be taken into account.

  • Homework #1 due Thursday, 1/24/8
    1.1: 7, 9, 11, 13, 15, 17, 19, 20, 29, 31
    recommended: 21, 23, 24, 27
    1.2: 1, 2, 3, 7, 9
    recommended: 4, 5, 21, 22

  • Homework #2 due Thursday, 1/31/8
    1.2: 13, 15, 19, 23, 29
    recommended: 27, 30, 31
    1.3: 3, 9, 13, 15, 18, 19
    recommended: 20, 21, 22, 23, 24
    1.4: 3, 7, 13, 15
    recommended: 31, 33

  • Homework #3 due Thursday, 2/7/8
    1.3: 25, 30
    1.4: 17, 19, 21, 23, 24, 29, 30
    recommended: 32, 34, 35, 36
    1.5: 1, 5, 13, 15, 24, 26, 27
    recommended: 29, 30, 31, 32, 33

  • Homework #4 due Thursday, 2/14/8
    1.7: 1, 4, 5, 7, 11, 12, 21, 24, 26, 36
    recommended: 33, 39, 40
    1.8: 2, 5, 10, 15, 16, 32
    recommended: 24, 31, 34
    1.9: 1, 3, 8, 17
    recommended: 7, 14, 22

  • Homework #5 due TUESDAY, 2/26/8
    1.9: 13, 15, 23, 25, 28, 34
    recommended: 31, 36
    note: remember to justify your answers in 1.9.23 (maybe except (b))
    2.1: 1, 3, 5, 10, 15, 17, 21, 23
    recommended: 24, 25, 26

  • Homework #6 due Tuesday, 3/4/8
    2.2: 1, 3, 5, 7, 11, 13, 19, 33
    recommended: 25, 26, 38
    2.3: 1, 2, 4, 7, 11, 12, 13, 28, 33, 37
    recommended: 38, 39

  • Homework #7 due THURSDAY, 3/20/8
    2.8: 1, 2, 3, 4, 6, 7, 9, 12, 14, 15, 17, 19, 20, 21, 22, 23, 25, 31, 32, 33
    recommended: go to Wikipedia and read articles about "subspace", "basis", "null space", "column space".
    It will seem unclear, but your mind will get accustomed to these notions after some period
    (if you will be thinking about it every day, a week may actually suffice).
    After that you can try to read another Wikipedia article, change of basis, and see if it makes sense.

  • Take-home quiz 7-8 due Thursday, 3/27/8

  • Homework #8 due Thursday, 4/3/8
    3.1: 1, 13, 37
    3.2: 1, 7, 19, 20, 25, 28, 29
    3.3: 1, 3, 29, 32
    recommended: 3.3.30, 3.3.31

  • Homework #9 due Thursday, 4/10/8
    5.1: 2, 3, 6, 9, 16, 21, 24, 25, 26, 31
    recommended: 32, 35
    5.2: 3, 11, 18, 19, 21

  • Homework #10 due Thursday, 4/17/8
    5.3: 1, 3, 6, 7, 13, 17, 21, 22, 26, 27, 31, 32
    recommended: 5.4.19-23
    5.5: 1, 5, 7
    recommended: 5.5.13

  • Homework #11 due Thursday, 4/24/8
    6.1: 1, 7, 11, 13, 17, 19, 20, 28, 30, 31
    6.2: 5, 10, 13, 17, 23, 24, 27, 33
    recommended: 6.2.29, 31, 34

  • Homework #12 due Thursday, 5/1/8
    6.3: 1, 3, 7, 11, 17, 21, 22, 24
    recommended: 23
    6.4: 1, 3, 7, 22
    recommended: 17, 18

    • Recommended: 6.5: 5, 9, 14, 17