# Math 2370: Matrices and Linear Operators 1

Instructor: Jason DeBlois (see my homepage
for contact info)

Office: Thackeray 407

Office hours: M 3-4, Tu 2-3, Th 10-12

(you may also email me for an appointment)

### First day handout

**Text:** *Linear Algebra
(second edition)*, by Kenneth Hoffman and Ray Kunze.

Supplementary text: *Linear Algebra*, by Peter Lax
(not required this semester).

### Grading

- Homework - 30%. Assigned and collected weekly.
- Midterms 1 and 2 - 20% each.
- Final exam - 30%.

### Homework Assignments

**Homework 1** (due Friday 09/07). Section 1.2 #2,3,7, Section 1.3
#1,3,5,8, Section 1.4 #1,2,3
**Homework 2** (due Friday 09/14). Section 1.4 #6,7,8,9,10,
Section 1.5 #1,3,5,6,8
**Homework 3** (due Friday 09/21). Section 1.6 #1,3,4,7,9,
Section 2.1 #2,3,4,6, and the

**PPotW**: April 2007, Problem 4.

(A Hermitian matrix A is *positive definite* if X^*AX > 0 for
every nx1 matrix X, where X^*

is the 1xn matrix with (1,j)-entry
the complex conjugate of the (j,1)-entry of X for each j.)
**Homework 4** (due Friday 09/28). Section 2.2 #2,3,4,8,9,
Section 2.3 #2,3,4,7,8,10,12, and

the **PPotW**: April 2006, Problem 5.
**Homework 5** (due Monday 10/08). Section 2.4 #1,4,5,7,
Section 2.6 #2,3,5,6, and the

**PPotW(s)**: August 2006, Problem 1
and April 2008, Problem 1.
**Homework 6** (due Friday 10/19). Section 3.1 #5,7,8,10,13,
Section 3.2 #3,4,9,10,11,

Section 3.3 #2,3,7, and the
**PPotW**: April 2010, Problem 1.
**Homework 7** (due Friday 10/26). Section 3.4 #2,3,5,7,8,10,12,
Section 3.5 #1,3,4,5, and

the **PPotW(s)**: April 2010, Problem 2
and August 2010, Problem 1.
**Homework 8** (due ~~Friday 11/02~~ Monday 11/05).
Section 3.5 #7,8,12,14,17,
Section 3.6 #1,3,

Section 3.7 #1,2,5,6, and
the **PPotW**: August 2014, Problem 2.
**Homework 9** (due Monday 11/12). Section 4.2 #1,2,3,6,7,
Section 4.3 #1,2,3,4,5, and the

**PPotW**: August 2016, Problem 6.
**Homework 10** (due Monday 11/26). Section 4.4 #1--7, Section
4.5 #1--4, and the **PPotW**:

January 2000, Problem 1.
**Homework 11** (due Thursday 12/6). Section 5.2 #1,3,5,6,9,10,12,
Section 5.3 #1,2,5,7,10

**PPotW** = "Prelim Problem of the Week"