Shift operator

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Consider the operator S\mathcal{S} in R3\mathbb{R}^3 that shifts all coordinates of a vector to the right and puts the third coordinate in place of the first coordinate. Here's what it does to the vector aR3a \in \mathbb{R}^3 with coordinates (a1,a2,a3)(a_1, a_2, a_3):

S(a1a2a3)=(a3a1a2)\mathcal{S}\begin{pmatrix} a_1\\a_2\\a_3 \end{pmatrix}= \begin{pmatrix} a_3\\a_1\\a_2 \end{pmatrix}Find the matrix of the operator S\mathcal{S} in the standard basis: e1=(1,0,0)e_1 = (1, 0, 0), e2=(0,1,0)e_2 = (0, 1, 0), e3=(0,0,1)e_3 = (0, 0, 1). Write it in the answer field. Your answer may look as follows:

0 0 0
0 0 0
0 0 0
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