Eigen values

How many values could a take

1Comment
shivani @shivani1234
9 Oct 2017 11:45 am

\( \begin{bmatrix}a&5\\-3&b\end{bmatrix}\)
Characteristic equation is :
|A-λI | = 0
\( \begin{bmatrix}a-λ&5\\-3&b-λ\end{bmatrix}\)
then equations obtained on putting λ= 1 , 3
\(ab-(a+b)+16=0\) 
\(ab-3(a+b)+24=0\)
then, we get a=6,-2 
So, ans is 2