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A3 x 3 matrix A has eigenvalues 11 = -8, 12 = 7, and 13 = 4. An eigenvector corresponding to 13 is given by
A3 x 3 matrix A has eigenvalues 11 = -8, 12 = 7, and 13 = 4. An eigenvector corresponding to 13 is given by u = [1,0, -1]+. (Notice that ||0|| 20 = 1.) Suppose we perform inverse iteration, and normalize with respect to the infinity norm, 11 ||0o. The initial guess xo = (-1,-1,1]" is used. What is the approximate error ||X4 u||.0 after performing 4 iterations of normalized inverse iteration? number (rtol=0.001, atol=1e-08) A3 x 3 matrix A has eigenvalues 11 = -8, 12 = 7, and 13 = 4. An eigenvector corresponding to 13 is given by u = [1,0, -1]+. (Notice that ||0|| 20 = 1.) Suppose we perform inverse iteration, and normalize with respect to the infinity norm, 11 ||0o. The initial guess xo = (-1,-1,1]" is used. What is the approximate error ||X4 u||.0 after performing 4 iterations of normalized inverse iteration? number (rtol=0.001, atol=1e-08)
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