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Linear Algebra

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Eigenvalues of $A$

LINALG-8PKURI

Let:

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

What are the eigenvalues of $A$?

A

$A$ has no eigenvalues.

B

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

C

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

D

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

E

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

F

None of the above.