Homework for Math 4378

Do all exercises, turn in solutions to * problems with all work shown.

Due January 24:

Sect. 5.1, p. 256 #1 (check answers on p. 578), 2a, b*, c, 3a, b*, c, 4a, d*, 7* (Hint: Use the properties of the determinant of a matrix), 11*, 12*, 14, 15, 16, 17 (Hint: compute T²). Here are the problems for those who have not yet purchased a textbook. Here are the textbook answers. I will not provide textbook problems and solutions after next week.

Due January 31 at the beginning of class:

Sect. 5.2, p. 279: #1 (check answers on p. 579), 2a,b*,d*,e, f, 3a, b*, d*,f, 4, 7, 8*, 10, 11*, 13*, 17, 18, 20*.

Due February 7 at the beginning of class:

Sect. 5.4, p. 321: #1 (check answers on p. 580), 2, 3*, 4*, 6*, 9*, 18*.

Due February 14 at the beginning of class:

Sect. 6.1, p. 336: #1 (check answers on p. 581), 2, 5*, 9*, 10*, 20a*, 24*, 25*.
Sect. 6.2, p. 352: #1 (check answers on p. 581), 2a*f*, 3. See definition at top of p. 348.

Due February 21 at the beginning of class:

Sect. 6.2, p. 352, #7, 10*, 11, 12, 13, 15*, 16*, 17, 19*, 20*, 21*.
Sect. 6.3, p. 365 #1 (check answers on p. 582), 2a*b*, 3ab*, 6, 7, 8, 9 (somewhat hard), 10 (for IP spaces over reals), 12*, 14, 20a*

Due March 9 at the beginning of class:

Sect. 6.4, p. 374 #1 (check answers on p. 582), 2a,b*, c, e (Hint: trace(AB) =trace(BA)), f*, 4*, 6*, 7, 9*.

Due March 21 at the beginning of class:

Sect. 6.4, p. 374: 19*, 20*, 21*, 22*

Due March 28 at the beginning of class:

Sect. 6.5, p. 392: 1 (check answers on p. 582), 2a,b*,c, e*, 3*, 4*, 5, 6, 9*, 10*, 12*, 24*, 25, 27a,b*

Due April 20 at the beginning of class:

Sect. 6.6, p. 403:: 1 (check answers on p. 583), 2, 4*, 5, 6*, 7*,
Sect. 6.7, p. 418: 1a-e (check answers on p. 583), 2a, 3a, b*, c, d*, 4a, b*, 11*, 14*

Due April 27 at the beginning of class:

Sect. 6.8, p. 447: 1 (check answers on p. 584), 2, 3*, 4, 5, 7*, 8*, 17, 18*, 22*.