For each of the following linear transformations L mapping R3 into R2, find a matrix A such that L(x) = Ax for every x in R3:
(a) L (( x 1 , x 2 , x 3 ) T ) = (x1 + x2, 0)T
(b) L (( x 1 , x 2 , x 3 ) T ) = (x1, x2)T
(c) L (( x 1 , x 2 , x 3 ) T ) = (x2 − x1, x3 − x2)T
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