# Course Materials: Problems Sets, Exams, Review Materials

- See the course Stellar site for additional materials:

https://stellar.mit.edu/S/course/18/fa17/18.0851/ - Highlights of Linear Algebra

## Homework 1

Homework 1 for 18.085 will be due at the start of class Thursday Sept 14

PLEASE PRINT your name CLEARLY at the top --- family name last.

Any format is acceptable for the Matlab part in this homework

3 problems 2 4 10 from Highlights of Linear Algebra

Problems 5 12 15 21 from Section 1.1 of the text and #3 from Section 1.2 (PDF link)

## Homework 2

Homework 2 For Thursday Sept 21

Section 1.3 9, 10, 11, 15, 16

Section 1.4 1, 4, 9, 11, 13, 14

Section 1.5 9, 13, 30

## Homework 3

Homework 3 for Thursday September 28

**Homework 3 (PDF link)**

Section 1.6 3, 10, 12, 13, 16, 20, 27

I chose those 7 questions form Section 1.6 and you could look at others. Section 1.7 explains orthogonal matrices Q (inverse equals transpose) --- I will do that in class but not on homework. Then we move to Section 2.1 and these homework questions:

Section 2.1 3, 4, 7, 8 plus this final question:

Create a finite difference approximation with nodes at x= 0, h, 2h, 3h, 4h=1

- d/dx ( c(x) du/dx ) = f(x) with u(0) = 5 and du/dx (1) = 0