4. Let [0.90 0] A = (a) (.) Carry out the power method with q, = [1,1]"; find a general expression for q, What eigenvector does this sequence converge to? Show that the convergence is linear and find...

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Extracted text: 4. Let [0.90 0] A = (a) (.) Carry out the power method with q, = [1,1]"; find a general expression for q, What eigenvector does this sequence converge to? Show that the convergence is linear and find the ratio of convergence. Carry out the shift and invert variant of the power method with p= .91 and qo = [1, 1]"; (b) find a general expression for q, What eigenvector does this sequence converge to? Show that the convergence is linear and find the ratio of convergence.