Is there a mathematical operator which flips a vector from left to right (or up to down). Say \begin{align} a = [1~ 2~ 3]\quad\text{and}\quad b = [3~ 2~ 1] \end{align} I'd like to have \begin{align} a = \sigma\circ b \end{align} where $\sigma$ is the flip operator. How would you define it? Or does the operator might exists already and I'm just not aware?
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$\begingroup$I don't know of any such operator, however, you could multiply your vector by the matrix
$\begin{bmatrix} 0 & 0 &1 \\ 0& 1 &0 \\ 1&0 &0 \end{bmatrix}$
and then take the transpose.
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