Consider the matrix A=[12−136−324−2]A = \begin{bmatrix} 1 & 2 & -1 \\ 3 & 6 & -3 \\ 2 & 4 & -2 \end{bmatrix}A=132264−1−3−2.
Which statement about the row space of AAA is correct?
The dimension of the row space is 3 (the rows are linearly independent)
The dimension of the row space equals rank(A)=1\text{rank}(A) = 1rank(A)=1
The row space is 2-dimensional because there are 2 nonzero rows in RREF
The row space cannot be computed for non-square matrices