eig.mat includes

A = 10x10 double matrix

b = 1 column, 10 rows matrix

B = 10x10 double matrix

Programming for Eigen values by the power method. Test your program against MAT-LAB with the matrices provided as part of this assignment (Eig.mat). Submit all your code. Write a MATLAB function to find the largest eigen value and the associated eigen vector using power iteration Write a MATLAB function to find the smallest eigen value and the associated smallest eigen vector using inverse power iteration. You should use your LU decomposition and back substitution for this. Write a MATLAB function to find an eigen value and the associated eigen vector roughly in between lambda_max and lambda_min using the shift algorithm