# 10/2/2008

## Discussion of Exam

- You will be allowed to use one 8.5" x 11" note sheet during the exam.
- The exam will consist of two parts, one with Maple and one without Maple

## Problem Session

## Coordinates in a subspace of R^n

## Linearity of Coordinates

## The matrix of a linear transformation

## Standard matrix versus *B*-matrix

## Similar Matrices

- Consider two n x n matrices A and B. We say that A is similar to B if there exists an invertible matrix S such that AS = SB, or B = S^(-1)AS.

## Similarity is an equivalence relation

- An n x n matrix A is similar to itself (reflexitivity).
- If A is similar to B, then B is similar to A (symmetry).
- If A is similar to B and B is similar to C, then A is similar to C (transitivity).

## Group/Class Exercises

- Section 3.4 - 4, 6, 10, 18, 23, 60

## Good luck with your preparation for Exam 1.