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## Homework Statement

You're given two matrices (A and B). You want to find a basis for the space {x|x = Ay where By =0}.

## Homework Equations

## The Attempt at a Solution

You're looking for all vectors x=Ay such that y is in the null space of B. So you're looking for a basis for only a part of R(A). My initial though was to find a basis for the null space of B, multiply A by that basis, and then find a basis for that new matrix. But the more I think about it, the less sense that makes. Any suggestions?

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