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3. Write a function in MATLAB that takes as input a square matrix A, a guess for an eigenvalue and returns as output the eigenvalue

3. Write a function in MATLAB that takes as input a square matrix A, a guess for an eigenvalue and returns as output the eigenvalue and eigenvector found using the shift-and-invert strategy. You may use MATLABs built in matrix multiplication (A*b) and division command (A\b) as necessary. To test your program, if you enter the matrix A = [1, 2, 3; 4, 5, 6; 7, 8, 10] and = 1, you should find the eigenvalue 0.19825 and the eigenvector (0.33455, 1, 0.57726).

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