This is my last week in Linear Algebra. I am working on our last homework assignment before the exam so I want to make sure I know what I am doing.(adsbygoogle = window.adsbygoogle || []).push({});

In each part, make a conjecture about the eigenvectors and eigenvalues of the matrix A corresponding to the given transformation by considering the geometric properties of multiplication by A. Confirm each of your conjectures with computations.

A. Reflection about the line y=x

B. Contraction by a factor of 1/2

I'm not quite sure how to get started.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Algebra Question: Eigenvectors & Eignvalues

**Physics Forums | Science Articles, Homework Help, Discussion**