### Math 22a Fall 2022:

Fact sheet
Chapters 1-3
Chapters 4-7
Chapters 8-11
Index
HW #1 due Wed 9/14: Chap 1 Homework. Do problems 5, 6, 7, 8b,9,11.
HW #2 due Wed 09/21
HW #3 due Wed 09/28
** Test #1: Wed 9/28 in class. Material: All topics covered up to 9/22. You may bring a two-sided letter size aid sheet. **
HW #4 due Wed 10/12: Chap 2 Homework. Do problems 3,4,6a,10 (try 7,8 first),22a,27
(see 25 for definition of a ball)
HW #5 due Wed 10/19: Chap 3 Homework. Do problems 1,4,6,11,12,13,18, 22b
HW #6 due Wed 10/26:
Chap 4 Homework. Do problems: 2, 9,10,13,14,15

In #2, apply Gram-Schmidt to the basic solutions. In #9, rank(A):=dim (im A)=3 (why?); write down a system of 2 equations whose basic solutions will allow you to form A. In #10, use the orthogonal sum theorem and the best approximation theorem.
** Test #2: Wed 11/02 in class. Material: All topics covered up to 10/28. You may bring a two-sided letter size aid sheet. **
HW #7 due Wed 11/9: Chap 5 Homework. Do problems 3,11,12,13, 14, 15,18, 22.
HW #8 due Wed 11/23
HW #9 due Wed 11/30:
Chap 6 Homework. Do 1b,3,4,8,9,11,12, 16.

In #4, what happens when you add the first two vectors?

In #16, think about what the matrix does to a vector geometrically for a typical angle. Can a vector ever be an eigenvector?