For each of the following linear operators L on R3, find a matrix A such that L(x) = Ax
Chapter 4, Problem 3(choose chapter or problem)
For each of the following linear operators L on R3, find a matrix A such that L(x) = Ax for every x in R3: (a) L((x1, x2, x3)T ) = (x3, x2, x1)T (b) L((x1, x2, x3)T ) = (x1, x1 +x2, x1 +x2 +x3)T (c) L((x1, x2, x3)T ) = (2x3, x2 + 3x1, 2x1 x3)T
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