Question

a =

1 -1 2
0 2 0
3 -3 2

What are the eigenvalues of this matrix? Please show the characteristic equation and all working.

Answer 1

e1 = -1 and e2 = 4

Answer 2

iwan yes you are correct what are your workings I get lost trying to expand the matrix.

Answer 3

2 is also an eigenvalue

Answer 4

use the matrix form

Answer 5

[(1-a)(2-a)(2-a)+0+0] - [(2)(2-a)(3)+0+0] = 0

Answer 6

find a, so you will get eigenvalues

Answer 7

thanks iwan i will keep trying must be my working that is incorrect. thanks