Q^3/Generated linear subspaces/Equal/1/Exercise

We consider in ${}\mathbb {Q} ^{3}$ the linear subspaces

${}U=\langle {\begin{pmatrix}2\\1\\4\end{pmatrix}},{\begin{pmatrix}3\\-2\\7\end{pmatrix}}\rangle \,$

and

${}W=\langle {\begin{pmatrix}5\\-1\\11\end{pmatrix}},{\begin{pmatrix}1\\-3\\3\end{pmatrix}}\rangle \,.$

Show that ${}U=W$.

Create a solution