Link Search Menu Expand Document
Linear Algebra

Worksheet 25

  1. Find the characteristic polynomial of \(A = \begin{pmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{pmatrix}\) What are its roots? What are the eigenspaces of $A$?

  2. Find the characteristic polynomial of \(A = \begin{pmatrix} 2 & 1 \\ -1 & 1 \end{pmatrix}\) What are its roots? What are the eigenspaces of $A$?

  3. Do the previous problems but over the field $\mathbb{F}_2$.