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## Homework Statement

Let W be the subspace of R4 such that W is the solution set to the following system of equations:

x1-4x2+2x3-x4=0

3x1-13x2+7x3-2x4=0

Let U be subspace of R4 such that U is the set of vectors in R4 such the inner product <u,w>=0 for every w in W.

Find a 2 by 4 matrix B such that U is precisely the set of solutions in R4 of the homogenous system Bx=0.

## Homework Equations

## The Attempt at a Solution

Solving the system I got that W=(-3t+2s,t+s,s,t) where s and t are free variables. But I'm not sure how to get B from this information.