I have the following matrix
\begin{bmatrix} 15.52 & 0.00 & -14.52 \\ -11.05 & 1.00 & 11.05 \\ -0.01 & 0.00 & 0.01 \end{bmatrix}
I am supposed to calculate the condition number as the ratio between its maximum and minimum eigenvalue. My result is 24116.0899 using $ k(A)=\Big\vert\frac{\lambda _{\max}(A)}{\lambda _{\min}(A)} \Big\vert$ But the official result is $5.86 \cdot 10^{4}$.
Can somebody help me?
Thank you