Simple Yes or No Will Do Eigenvectors

[essie52]

Simple Yes or No Will Do... Eigenvectors

Homework Statement

I think my prof made a mistake when writing this problem:

Find a basis of the space V of all 3 x 3 matrices A for which the vectors <1, 1> and <1, 2> are eigenvectors and thus determine the dimensions of V.

Is this problem possible? Wouldn't the matrices have to be 2 x 2 given the vectors?

 

[hgfalling]

It sounds like a mistake; the eigenvectors of a 3x3 matrix would each be of dimension 3.