Let E = {u1, u2, u3} and F = {b1, b2}, where u1 = 1 0 1 , u2 = 1 2 1 , u3 = 1 1 1 and b1

Chapter 4, Problem 18

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Let E = {u1, u2, u3} and F = {b1, b2}, where u1 = 1 0 1 , u2 = 1 2 1 , u3 = 1 1 1 and b1 = (1,1)T , b2 = (2,1)T For each of the following linear transformations L from R3 into R2, find the matrix representing L with respect to the ordered bases E and F: (a) L(x) = (x3, x1)T (b) L(x) = (x1 + x2, x1 x3)T (c) L(x) = (2x2,x1)T 1

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