Question

how to solve eigenvectors and eigenvalues??

Answer 1

i can do eigenvalues , but not eigenvectors

Answer 2

how??? is there any techniques or what?

Answer 3

well start with the definition
the matrix T has eigenvalues lambda if
\[\textbf{T}|\alpha \rangle=\lambda|\alpha\rangle \]

Answer 4

and then?

Answer 5

re arranging the equation \[\left( \textbf{T}-\lambda \textbf{I}\right) | \alpha \rangle =0\]

Answer 6

we can divide out the vector

Answer 7

can you give some examples how to do that. the easiest one so i could understand.

Answer 8

now just take the determinate and set equal to zero

\[|\left( \textbf{T}-\lambda \textbf{I}\right) | =0\]

Answer 9

i cant really go on further without your matrix

Answer 10

okay okay i'll find one..

Answer 11

i have one
but it has complex values, are you comfortable with those/?

Answer 12

sure...wait a sec.