The system above can be rewritten as the matrix problem

$=,$

or as

$=,$ where $=\text{'}$$$$

Seeking a solution in the form $=()$ produces the eigenvalue problem

$=,$ which requires $||=0$

Write a MATLAB function that computes the eigenvalues and eigenvectors for this problem

as a function of the inputs $$$$,\%,$$$,\%,$&$,$$$,\%,$ and $$&$.$ Run the MATLAB code for the

inputs $$$ $=\%=1,$$ $=\%=$& $=1,$ and $$$ $=\%=$& $=0,$ and include a printout of the

result. Then, take that result and show that the eigenvectors can be rescaled to write the

solution for $$ a