Question

Find the eigenvalue; characterize the operator.

(Eqn as attachement.)

Answer 1

is it of matrix problem

Answer 2

The 3*3 matrix is the operator : what is the corresponding lambda eigenvalue ?

Answer 3

-2

Answer 4

if you do the matrix multiplication of
-2 0 0 x
0 -2 0 y
0 0 -2 z
than you get
-2x
-2y
-2z
so lambda is -2

Answer 5

Ok. How do I characterize the operator ?

Answer 6

I dont know

Answer 7

Thanks anyway.