Science:Math Exam Resources/Courses/MATH307/December 2006/Question 04 (a)/Statement

Consider the real matrix

$A={\begin{bmatrix}2&1\\-8&2\\\end{bmatrix}}$

(a) Use complex numbers to diagonalize A, this means to find matrices $S$, $\Lambda$, and $S^{-1}$, such that

$A=S\Lambda S^{-1}$

where $\Lambda$ is diagonal.