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A matrix A is given along with an iterate x5 68 931 34 344 A X5 a Compute the next iterate x X6 AX5 34

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A matrix A is given along with an iterate x5 68 931 34 344 A X5 a Compute the next iterate x X6 AX5 34 Use these data to approximate a dominant eigenvector whose first component is 1 and a corresponding dominant eigenvalue Use three decimal place accur dominant eigenvector dominant eigenvalue b Compare your approximate eigenvalue in part a with the actual dominant eigenvalue A Find the characteristic polynomial det A 2 Find the dominant eigenvalue

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