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, 4 1 1 1 3 -1 1 1-1 2 0 1 1 0 2 Use tolerance 10-5 and 0 = (1,0,0,0). Show the approximate eigen- values from the iterations. o