Show all work for Full Credit I got the Answers to 1 2 fro

Show all work for Full Credit !

I got the Answers to 1 & 2 from herehttp://www.chegg.com/homework-help/questions-and-answers/minus-7-0-0-0x-t-8-minus-3-4-0-x-t-1-0-minus-5-0-2-1-4-minus-11-eigenvalues-equations2-eig-q1273241

Please show the 3rd Answer. My assignment is due soon. I am very confused in this problem. Please help soon, I will rate Lifesaver for answer with all steps and correct solution. Thanks.

Solution

Characteristic polynomial: x^4 + 16x^3 + 86x^2 + 176x + 105 Real eigenvalues: {-7, -5, -3, -1} Eigenvector of eigenvalue -7: (4, -6, -2, 1) Eigenvector of eigenvalue -5: (0, 4, -2, 1) Eigenvector of eigenvalue -3: (0, -2, 0, 1) Eigenvector of eigenvalue -1: (0, 0, 0, 1)