How do we find the set of vectors that are in the row space of A?
Do we do this by row reducing the following matrix?
(1 3 | 0)
(1 0 | 0)
(2 1 | 0)
The row space of a matrix is the space spanned by its rows. If this matrix has two linearly dependent rows (and it does) then as the rows are 2-vectors the row space is either R^2 or C^2 depending on if we are dealing with real or complex spaces/matrices.