# NulA and RowA basis

1. Jan 13, 2009

### future_phd

1. The problem statement, all variables and given/known data
Construct a matrix E such that its rows are the basis vectors for rowA and a matrix F such that its columns are the basis vectors for nulA. Compute EF. Explain your results.

2. Relevant equations
Basis for NulA was { [3 2 1 0], [1 3 0 1] } (except vertical)
Basis for RowA was { [1 0 2 4], [0 1 3 2] } (except vertical)

3. The attempt at a solution
I computed EF and I got the zero matrix, but I'm not sure exactly why this is the case. Can someone provide some insight on this? Thanks.

Last edited: Jan 13, 2009
2. Jan 13, 2009

### NoMoreExams

Re: Nul Space and Row Space basis

What is nullspace?

3. Jan 13, 2009

### future_phd

Re: Nul Space and Row Space basis

Edit: DOH, nevermind, I get it now. The null space is the vectors that get mapped to the zero vector by the matrix. So if you take the matrix's row space and multiply by each of the basis vectors of the nullspace, you will get zero vectors in return (or since it was a matrix of the basis vectors to the null space, you will get the zero matrix in return).

Last edited: Jan 13, 2009