Find the eigenvalues and eigenvectors of the matrix 9 3 -15 9 3 -15 7 3 -13| From smallest to largest, the eigenvalues are λ1 < λ2 < λ3 where λ1 = = has an eigenvector λη = has an eigenvector √3 = has an eigenvector Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.

PLEASE answer number 7 only, be clear and show all steps, thanks

please solve all

Please help me solve this. I got to all three eigens are equal to zero by doing subtraction of 5(first equation)-(third equation) and 3(first equation)-(second equation) and then solced out for my "a" "b" and "c" values. where did I go wrong here?? only HANDWRITTEN answer needed ( NOT TYPED)

PLEASE answer number 6 only, be clear and show all steps, thanks

The eigenvalue should be 2-2i, which with 8 would create a 1/4 ratio. Also, the row [1 0] is the first, not second row as I have it. I'm not sure at which step I've made a mistake. Any help would be appreciated

Please explain step by step how to do parts a, b ,c with the solution