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Let:

$$A=\left[\matrix { 1 & 2 \cr -1 & 3 }\right ]$$

What are the eigenvalues of $A$?

$A$ has no eigenvalues.

The eigenvalues of $A$ are $5$ and $-1$.

The eigenvalues of $A$ are $-5$ and $1$.

The eigenvalues of $A$ are $2+i$ and $2-i$

The eigenvalues of $A$ are $1+2i$ and $1-2i$

None of the above.