PH 4433/6433 Homework 6

Mikhail Gaerlan
21 October 2015

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Introduction

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


Code


Results


Discusion

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