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A matrix A is given along with an iterate xg 1 760 533 A a Compute the next iterate x X6 AX5 X5 7573 2293 Use these data to approximate a dominant eigenvector whose first component is 1 and a corresponding dominant eigenvalue Use three decimal place accu dominant eigenvector dominant eigenvalue 0 30278 5 13 2 7573 b Compare the approximate eigenvalue from part a with the actual dominant eigenvalue 1 Find the characteristic polynomial det A 2 22 52 3 Find the dominant eigenvalue 5 13 2 x
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