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Exercises $7-12$ require MATLAB or other computational aid. In Exercises 7 and $8,$ use the power method with the $\mathbf{x}_{0}$ given. List $\left\{\mathbf{x}_{k}\right\}$ and $\left\{\mu_{k}\right\}$ for $k=1, \ldots, 5 .$ In Exercises 9 and $10,$ list $\mu_{5}$ and $\mu_{6} .$$$A=\left[\begin{array}{rrr}{1} & {2} & {-2} \\ {1} & {1} & {9} \\ {0} & {1} & {9}\end{array}\right], \mathbf{x}_{0}=\left[\begin{array}{l}{1} \\ {0} \\ {0}\end{array}\right]$$

$\mu_{5}=9.9319$ and $\mu_{6}=9.9872 .$ The actual eigemmalue is $10 .$

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 8

Iterative Estimates for Eigenvalues

Vectors

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okay. In this question, we want to find that Ivan values and vectors using the power method with these initial condition of this initial Steichen's. So once again, I've created a pipe. A script, which was this? So a matrix is set in here. Your initial stein value is here. Then this program performs it. Performs the palace, take 10 times on dhe it before the multiplication. Here, you find the absolute maximum value off the matrix, and you will perform the palace that rights here. Now, you print out the values as it goes along. So you see that in this case, we want to list your five in your six and you see the results right here.

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