Homeworks

All the problems are from the textbook. They are due in class on the specified date.

HW 1, due Thursday 1/27 in class: Read Sections 1.1 to 1.4
Sec. 1.2, Page 9: 3, 5, 8, 22
Sec. 1.3, Page 15: 6, 10, 18, 20, 27
Sec. 1.4, Page 26: 2, 4, 10, 12, 13, 15, 17, 20, 21, 24, 31, 33, 38, 39, 41, 56, 61
HW 2, due Thursday 2/3 in class: Read Sections 1.5, 1.6 and 1.7
Sec. 1.5, Page 39: 10, 11, 14, 19, 24, 29, 32, 35, 38, 42, 48
Sec. 1.6, Page 52: 4, 5, 11, 17, 18, 20, 25, 38, 50, 56
Sec. 1.7, Page 63: NOTHING.
HW 3, due Thursday 2/10 in class: Read Sections 2.1, 2.2 and 2.3
Sec. 2.1, Page 73: 4, 7, 20,24, 25, 28
Sec. 2.2, Page 85: 25, 30, 46, 50, 62, 68
Sec. 2.3, Page 98: 2, 11, 14, 24, 32, 34, 42
HW 4, due Thursday 2/17 in class: Read Sections 2.4, 2.5 and 2.6
Sec. 2.4, Page 110: 12, 14, 16, 20, 27, 36, 38
Sec. 2.5, Page 122: 6, 8
Sec. 2.6, Page 133: 6, 8, 26, 27, 34 (kernel is null space), 36, 50
Sec 2.4 Page 112 #29. Erase the 6,8 and 9 below the lower diagonal of the 3-by-3 lower triangular matrix and replace those matrix entries with ?, ?? and ???. Now compute the 4 fundamental spaces of A.
HW 5, due Thursday 2/24 in class: Read Sections 3.1 to 3.2
Sec. 3.1, Page 148: 4, 12, 15, 22, 28, 31, 32, 36, 42, 44, 50, 51
Sec. 3.2, Page 157: 3, 8, 14, 20, 22
HW 6, due FRIDAY 3/4 by NOON in my mailbox on 16th floor 1623D (NOT my office on 15th floor 1544): Read Sections 3.3 to 3.5
Sec. 3.3, Page 170: 4, 10, 12, 18, 22, 23, 27, 28, 35
Sec. 3.4, Page 185: 4, 6, 16, 18, 21, 22, 28, 29
DO NOT TURN IN Sec. 3.5, Page 196: 2, 11, 17, 20, 22
HW 7, due Thursday 3/24 in class: Read Sections 4.1 to 4.4
Sec. 4.2, Page 207: 6, 10, 14, 19, 24, 30, 35
Sec. 4.3, Page 215: 6, 11, 12, 18, 28, 36
Sec. 4.4, Page 225: 3, 4, 12, 18, 31, 32, 39, 42
HW 8, due FRIDAY 4/1 by NOON in my mailbox on 16th floor 1623D (NOT my office on 15th floor 1544):
Read Sections 5.1 to 5.3
Sec. 5.1, Page 240: 5, 8, 10, 12, 18, 22, 34
Sec. 5.2, Page 250: 6, 8, 11, 14, 18, 22, 28, 30, 35, 44
Sec. 5.3, Page 262: 4, 6, 10, 12, 15, 18
HW 9, due Thursday 4/7 in class
Read Sections 5.4 and 5.5
Sec. 5.4, Page 275: 4, 5, 8, 22, 24, 30, 36, 42
Sec. 5.5, Page 288: 8, 9, 10, 12, 17, 21, 22, 31, 34, 44, 45
HW 10, due Thursday 4/14 in class
Read Section 5.6 and Appendix B
Sec. 5.6, Page 302: 4, 8, 14, 17, 21, 22, 26, 34, 38, 41, 42, 44
Appendix B, Page 427: 4, 5, 7
HW 11, due Thursday 4/21 in class
Read Sections 6.1 to 6.3
Sec. 6.1, Page 316: 4, 9, 17, 20
Sec. 6.2, Page 326: 6, 12, 14, 22, 28 (Cholesky defined in #27), 38, 42
Sec. 6.3, Page 337: 2, 8, 10, (for next week, HW 12, I will assign 15, 17, 18, 20, 22)
HW 12 (LAST HW!), due Thursday 4/28 in class
Read Sections 6.3, 6.4, 7.4
Sec. 6.3, Page 337: 15, 17, 18, 20, 22
Sec. 6.4, Page 344: 2, 6, 7, 16
Sec. 7.4, Page 372: 2, 8, 10, 13