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PostPosted: Thu Dec 07, 2017 8:14 am 

Joined: Sat Nov 14, 2015 6:32 am
Posts: 132
Location: Melbourne, Australia
If

\begin{align*}
W_1 &=\{(x, y, z)| x + y- z =0\}\\
W_2 &= \{(x, y, z)| 3x +y- 2z =0\}\\
W_3 &=\{(x, y, z)| x -7y+3z =0\}
\end{align*}

then find $\dim (W_1 \cap W_2 \cap W_3 )$ and $\dim (W_1 \cap W_2 ).$

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