It's from a course about numerical analysis. Please use matlab.

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