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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} .$$$A=\left[\begin{array}{ll}{6} & {7} \\ {8} & {5}\end{array}\right], \mathbf{x}_{0}=\left[\begin{array}{l}{1} \\ {0}\end{array}\right]$$

The actual eigenvalue is $13 .$

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 8

Iterative Estimates for Eigenvalues

Vectors

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Lectures

02:56

In mathematics, a vector (…

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Exercises $7-12$ require M…

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In Exercises 5 - 10, fi…

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Find $a \cdot$ b. For Exer…

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In Exercises $1-10$ , dete…

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For the following exercise…

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Yeah, this question. We want to use a power method to find the item, Ivan. Values and vectors. Obvious matrix. So over here I have created a python script that you could run yourself to before miscalculations. So to understand a bit about what's going on, we have a hour. Mission matrix is 2145 and accept north is 10 So if you want to change these matrices, you have to be careful. But you have to put the rose like like this, and separate collars with every number. And then you had a comma every time you're starting, right? So that's why this is one comma. And what this program does is that it does. It performs the power step 10 times, and Mac tries and it performs step a times by except this big eight times by X. And then you'll find your which is the absolute which is the maximum value but the absolute maximum value off this matrix. Then you performed the Palestinian and you'll print out the results every time your capital is this. So the results over can be seen here. We see that except no is 10 and it was no serious full. So x one is 10.51 x to these went to and you could see the rest.

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