Question

Can anyone help me with this complex vector question:

Answer 1

here is the question:

Answer 2

@Empty @ganeshie8

Answer 3

@jango_IN_DTOWN

Answer 4

can you find eigenvalues ?

Answer 5

So I found: \[P=\left[\begin{matrix}-1/2 & -1/2 \\ 1 & 0\end{matrix}\right]\]
\[P^{-1}=\left[\begin{matrix}0 & 1 \\ -2 & -1\end{matrix}\right]\] and \[\alpha=\sqrt{17}\]
I need help finding the angle.

Answer 6

1+4i
1-4i ?

Answer 7

for eigen values I had:
-1+4i
-1-4i

Answer 8

no, can you explain that?

Answer 9

\[\left[\begin{matrix}-1-4i & 0 \\ 0 & -1+4i\end{matrix}\right]\] this is diagonal jordan form of you matrix

Answer 10

yes

Answer 11

now multiply S and R and
then solve SR=J
then you will find cos theta ,...

Answer 12

sorry my net is down . ...