# PH 4433/6433 Homework 6

Mikhail Gaerlan

21 October 2015

## Introduction

Matrices operations using LAPACK: inverses, systems of equations, and eigenvalues and eigenvectors.

## Discusion

- Inverses matched $AA^{-1}=A^{-1}A=I$.
- Solutions matched.
- Eigenvalues matched. Eigenvectors differed by a factor of $\sqrt{2}$.
- Eigenvalues matched. Eigenvector corresponding to eigenvalue of 5 differ by a constant. Other eigenvectors vary slightly.
- Solution matched.