For each of the following linear transformations L mapping R3 into R2, find a matrix A

Chapter 4, Problem 2

(choose chapter or problem)

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((x1, x2, x3)T ) = (x1 + x2, 0)T (b) L((x1, x2, x3)T ) = (x1, x2)T (c) L((x1, x2, x3)T ) = (x2 x1, x3 x2)T

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