Write a code to construct matrix A$3=($A$1$ x$1$x$$

T

$1$ A$1$ x$2$x$$

T

$2$ A$1).$

Use the Power method code written in ii$)$ and use it to derive the

largest eigenvalue $\backslash$lambda $3$ and corresponding eigenvector x$3$ of A$3.$ Find

x$3=$

x$3$

$\backslash |$ x$3\backslash |2$

$.$ Compare the values obtained in i$)$ with these values.

Deliverables: The first $10$ iterates of $\backslash$lambda $3$ and $$x$3$ and a comment on the

comparison.