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Consider $\mathbb R^4$ together with the standard inner product and let $W=\{(x_1, x_2, x_3, x_4) \in \mathbb R^4 |\ x_1+x_2-x_4=0\}$. Find a basis for $W^\perp$.

How do you solve this question? All I can think of is that you have to put the elements in $W$ in terms of others.

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    No need to download any piece of software. Just write your question in LaTeX. For example, \$x_1\$ to get $x_1$, \$W^\perp\$ to get $W^\perp$.2012-06-15

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