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Let S = { e1, e2, e3, e4 } be the standard basis for R4 ,...

Let S = { e1, e2, e3, e4 } be the standard basis for R4 , and let B = { v1, v2, v3, v4, } be the basis with vi = T(ei ), where

T ( x1, x2, x3, x4 ) = (x2, x3, x4, x1 ). Find the transition matrices P B to S and P S to B.

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