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16.1 For each of the matrices [1 2] 34 and B= [ -2 1 [ 0 1 -2 1 0 1 1 -3] 16.2 perform

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16.1 For each of the matrices [1 2] 34 and B= [ -2 1 [ 0 1 -2 1 0 1 1 -3] 16.2 perform two interations of the power method by hand starting with a vector of all ones. State the resulting approximations of the eigenvalue and eigenvector. (a) Write a well-commented MATLAB function program mypm.m that inputs a matrix and a toler- ance, applies the power method until the scalar residual is less than the tolerance, and outputs the estimated eigenvalue and eigenvector, the number of steps, and the scalar residual. (b) Test your program on the matrices A and B in the previous exercise

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