Vector bundle on spec of Artin local ring

Question

Let $A$ be a local Artin $k$-algebra with residue field $k$ where $k$ is an algebraically closed field.

Is it true that all vector bundles on $Spec(A)$ are trivial?

I guess the commutative algebra question is : are locally free modules globally free on such rings?

Answer 1

Yes, since projective modules over a local ring are free.