Doing homework problems is the most important part of this course. You may work with other students,
but write up the solutions on your own. I am happy to discuss problems with you, whether in office hours or in class.
2/16
III.3
3, 9, 11(c)(d)(e)
Assume parts (a) and (b) of #11
III.4 1,
11, 15
IV.2
4, 6
IV.3
1(a), 8(a)(b)(c)(f) Solutions for assignment #3
3/1
V.1.
2*, 3**
V.2
2, 5, 8, 10
VII.
1 5***, 7, 9, 13****
In all these problems, take R as the field of scalars.
* Assume the result
of Problem 1.
** Assume that taking transposes is a
linear mapping.
*** Find a formula; don't just
"describe."
**** He means positive definite. Solutions for assignment #4
3/15 VIII.1 4
VIII.2 4(a)(c), 6, 7,
11
VIII.3
2*
VIII.4 3**, 9(a)(d),
20, 23
In VIII.1 and VIII.2, let K=C. In VIII.3 and VIII.4, let K=R.
* Give the
associated quadratic form and the points on the
sphere where it attains its maximum.
** In (a),
prove if and only if. Solutions for assignment #5