Linear Algebra

Free Version

Upgrade subject to access all content

Easy

How Many Eigenvalues?

LINALG-RIJRPH

Suppose that $M$ is an $n\times n$ matrix. Which of the following statements are true about the number of eigenvalues $M$ has? Select ALL that apply.

A

$M$ has infinitely many eigenvalues.

B

It is possible but not necessary that $M$ has infinitely many eigenvalues

C

$M$ must have at least one eigenvalue.

D

$M$ has at most $n$ eigenvalues

E

None of the above.