For each of the following linear operators L on R2, determine the matrix A representing
Chapter 4, Problem 1(choose chapter or problem)
For each of the following linear operators L on R2, determine the matrix A representing L with respect to {e1, e2} (see Exercise 1 of Section 2) and the matrix B representing L with respect to {u1 = (1, 1)T , u2 = (1, 1)T }.: (a) L(x) = (x1, x2)T (b) L(x) = x (c) L(x) = (x2, x1)T (d) L(x) = 1 2 x (e) L(x) = x2e2
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