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Q^3/Generated linear subspaces/Equal/1/Exercise
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We consider in
Q
3
{\displaystyle {}\mathbb {Q} ^{3}}
the
linear subspaces
U
=
⟨
(
2
1
4
)
,
(
3
−
2
7
)
⟩
{\displaystyle {}U=\langle {\begin{pmatrix}2\\1\\4\end{pmatrix}},{\begin{pmatrix}3\\-2\\7\end{pmatrix}}\rangle \,}
and
W
=
⟨
(
5
−
1
11
)
,
(
1
−
3
3
)
⟩
.
{\displaystyle {}W=\langle {\begin{pmatrix}5\\-1\\11\end{pmatrix}},{\begin{pmatrix}1\\-3\\3\end{pmatrix}}\rangle \,.}
Show that
U
=
W
{\displaystyle {}U=W}
.
Create a solution