Write a function in MATLAB that takes as input a square matrix A, a guess for an eigenvalue rho and returns as output the eigenvalue and eigenvector found using the shift-and-invert strategy. Use basic programming, except you may use MATLAB's built in matrix computation commands such as addition, subtraction, "division," and multiplication, if needed. To test your program, if you enter the matrix A = [1, 2, 3: 4, 5, 6: 7, 8, 10] and rho = 1, you should find the eigenvalue 0.19825 and the eigenvector (-0.33455, 1, -0.57726)