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Given $a =(1, 2, 3)^T$ and $b = (5, 8, 4)^T$

what is $C=(a|b)$ mean?

is this a given $b$? or a over $b$? how to work out $C$?

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When you have a question about notation like that it's best to indicate where you encountered this notation: which book, which class... – Najib Idrissi Nov 11 '13 at 20:55
up vote 4 down vote accepted

It means augmented. So in this case:

$$ \mathbf{C}=\mathbf{a}|\mathbf{b}=\big[\begin{array}{c|c}\mathbf{a}&\mathbf{b}\end{array}\big]=\left[\begin{array}{c|c}1 & 5 \\ 2 & 8 \\ 3 & 4 \end{array}\right]. $$

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