###### Exercise6

Suppose that $$A$$ is a $$2\times2$$ matrix with eigenvalues $$4$$ and $$-3$$ and that $$B$$ is a $$2\times2$$ matrix with eigenvalues $$4$$ and $$1\text{.}$$ If we apply the power method to find the dominant eigenvalue of these matrices to the same degree of accuracy, which matrix will require more steps in the algorithm? Explain your response.

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