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Write a user-defined MATLAB function that determines all the eigenvalues of an ( n x n ) matrix by using the QR factorization and iteration method. For the function name and argument use e=AllEig (A), where A is the matrix and e is a vector whose elements are the eigenvalues. Use the function AllEig for calculating the eigenvalues of the matrix of Problem 5.8. Check the answer by using MATLAB 's built-in function for finding the eigenvalues of a matrix.

Problem

Apply the inverse power method to find the smallest eigenvalue of the matrix from Problem 5 .3 starting with the vector [1 1 lf The inverse of the matrix in Problem 5.3 is:

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