Given $A = \begin{bmatrix} 1&1&-1&0 \\3&-1&2&-4 \\-1&2&-4&3 \end{bmatrix}$ I need to calate the following:
1) Find a basis for the null space and the nullity of A.
2) Find a basis for the row space and the row rank of A.
3) Find a basis for the column space and the column rank of A.
So I brought the matrix $A$ in row echelon form:
$\begin{bmatrix} 1&1&-1&0 \\0&1&0&0 \\0&0&1&0 \end{bmatrix}$ I believe I did this part correctly.
So I know the rank of this matrix $A$ is 3 and it has 3 pivot points. Looking for some help with these questions