A matrix A is given along with an iterate x5 3 5 25 25 x 1 016 625 A 2 0 3 0 X5 813 500 a Use these data to approximate a

Question

A matrix A is given along with an iterate x5 3 5 25 25 x 1 016 625 A 2 0 3 0 X5 813 500 a Use these data to approximate a dominant eigenvector whose first component is 1 and a corresponding dominant eigenvalue Round your answers to three decimal places dominant eigenvector dominant eigenvalue b Compare your approximate eigenvalue in part a with the actual dominant eigenvalue 1

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