Q$5$: Eigenvalues and Eigenvectors

LetA$=\left[\begin{array}{ccc}2& 3& -4\\ 5& -6& 7\\ 3& 2& 1\end{array}\right].$

Witte code to calculate eigenvalues and eigenvectors of A

$[12]$A $=$ np$.$array$([[2,3,-4],[5,-6,7],[3,2,1]])$

np$.$linalg.eig$($A$)$ L$1,$L$2,$L$3$

L$1=$ None #The first eigen value, relpace None with your code

V$1=$ None #The first eigen vector, relpace None with your code

$12=$ None #The second eigen value, relpace None with your code

v$2=$ None #The second eigen vector, relpace None with your code

$13=$ None #The third eigen value, relpace None with your code

v$3=$ None #The third eigen vector, relpace None with your code

print$($L$1,$ V$1)$ # print the first eigen value and the first eigen vector

print$($L$2,$ V$2)$ # print the second eigen value and the second eigen vector

print$($L$3,$ v$3)$ # print the third eigen value and the third

None None

None None

None None

Write code to verify that the eigenvalues and eigenvectores you calculated are correct. You need to verity thate:

$Av1=v1.$

$[1$:

print$($None$)$ # write your code to print A vi

print$($None$)$ # write your code to print L$1$ v$1$

print$($None$)$ # write your code to print A v$2$

print$($None$)$ # write your code to print L$2$ v$2$

print$($None$)$ # write your code to print A v$3$

print$($None$)$ # write your code to print L$3$ v$3$