Consider the operator S in R3 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 a∈R3 with coordinates (a1,a2,a3):
S⎝⎛a1a2a3⎠⎞=⎝⎛a3a1a2⎠⎞Find the matrix of the operator S in the standard basis: e1=(1,0,0), e2=(0,1,0), e3=(0,0,1). Write it in the answer field. Your answer may look as follows:
0 0 00 0 00 0 0
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