Exercise FS.C26 Robert Beezer

For the matrix $D$ below use the extended echelon form to find:

  1. A linearly independent set whose span is the column space of $D$.
  2. A linearly independent set whose span is the left null space of $D$.
\begin{align*} D&= \begin{bmatrix} -7 & -11 & -19 & -15\\ 6 & 10 & 18 & 14 \\ 3 & 5 & 9 & 7 \\ -1 & -2 & -4 & -3 \end{bmatrix} \end{align*}

Solution