# Numerical Analysis/Power iteration exercises

Jump to navigation Jump to search

## Exercises

Consider the matrix, ${\displaystyle A=\left[{\begin{array}{c c c}6&2&-1\\2&5&1\\-1&1&4\end{array}}\right]}$, and the vector, ${\displaystyle {\textbf {x}}^{(0)}=\left[{\begin{array}{c}1\\1\\1\\\end{array}}\right].}$

By hand, do two iterations of the power method starting with ${\displaystyle {\textbf {x}}^{(0)}.}$

Use a computational software package to do 50 iterations. What was the result?