$\frac{0}{15}$ points

Consider the following matrix $A$ :

$A=([23,6],[0,-18])$

Further, let ${}_1$ and ${}_2$ be the two eigenvalues of $A,$ respectively, such that

Calculate $\frac{x_1}{x_2}$ where $x_1$ and $x_2$ are the $x$ and $y$ components of the eigenvector corresponding to ${}_1,$ respectively. In other words, first determine the eigenvector corresponding to ${}_1$ and calculate the ratio between the $x$ component and the $y$ component of this eigenvector.

N$.$B$.4$ decimals; $10\%$ error margin.

Correct Answer: $-0\mathrm{.}1463$