## Yet More Solutions

June 8, 2013

Here are solutions to the two proof questions I gave you in class yesterday. The first one is much harder than I thought it was when I wrote the question. I strongly recommend ignoring it completely, since it won't really help you prepare for the midterm, but I've included a solution just in case you're interested.

## More Solutions

June 7, 2013

Here are solutions to the problems we did in class today. The person who wrote these solutions emphasized some things in his class that I didn't (in particular, the method of finding an algebraic specification for the range of a matrix, given in Example 4 on p. 182 of the textbook). Some of the solutions might seem weird to you as a result. Don't be discouraged by that.

I'll post solutions for the proofs tomorrow. Good luck studying and email me if you have questions.

## Suggested Problems

June 7, 2013

To study for the final, I recommend you do the following problems:

Section Problems #2, 3, 7 #7, 8, 9

For 4.8 #7, 8, 9, use the matrices and vectors they give, but let me rephrase the question: Write A as A = SDS-1. Then use this to find a formula for Akx0 in terms of S and D. In each case, what happens to Akx0 as k goes to infinity?

## Solutions

June 6, 2013

Solutions to the last group assignment are now available. The solutions include a totally awesome example of a 4 by 4 matrix whose square is the zero matrix.

## Group Homework #6

May 24, 2013

Here's the last group assignment! It's due on June 5th, and it's a little bit longer than usual.