Let L be the linear operator on R3 defined by L(x) = 2x1 x2 x3 2x2 x1 x3 2x3 x1 x2

Chapter 4, Problem 4

(choose chapter or problem)

Let L be the linear operator on R3 defined by L(x) = 2x1 x2 x3 2x2 x1 x3 2x3 x1 x2 Determine the standard matrix representation A of L, and use A to find L(x) for each of the following vectors x: (a) x = (1, 1, 1)T (b) x = (2, 1, 1)T (c) x = (5, 3, 2)T

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