3. (20 points) Computer project: Write computer code and implement (1) the power method; (2) the symmetric power method; (3) the symmetric inverse-power method. Test the methods on the following matrix, Use tolerance 10 5 and o values from the iterations. 4 1 1 1 1 3 1 1 -1 2 0 1 0 2 = (1,0,0,0). Show the approximate eigen-