?In Exercises 3-4, apply the power method with Euclidean scaling to the matrix \(A\)
Chapter 9, Problem 3(choose chapter or problem)
In Exercises 3-4, apply the power method with Euclidean scaling to the matrix \(A\), starting with \(\mathbf{x}_{0}\) and stopping at \(\mathbf{x}_{4}\). Compare the resulting approximations to the exact values of the dominant eigenvalue and the corresponding unit eigenvector.
\(\quad A=\left[\begin{array}{rr}5 & -1 \\ -1 & -1\end{array}\right] ; \quad \mathbf{x}_{0}=\left[\begin{array}{l}1 \\ 0\end{array}\right]\)
Equation Transcription:
;
Text Transcription:
A
x_0
x_4
A = [5 & -1 \\ -1 & -1] ; x_0 = [1 \\ 0]
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