Question: Let L: R R be the linear operator given by the rule L(x, y) = (2x+y, 4x - 2y) and let B be the

Let L: R R be the linear operator given by the rule L(x, y) = (2x+y, 4x - 2y) and let B be the following ordered basis for R2 : B={(0, 1), (1, 1)}. Then the matrix [L]B of L with respect to B and B is which one of the following? [L}} = {3} 1 -2 - [3-3] 4 2 2 1 [L] B OLIB = -3 1 -1 3 3 2 3 4 21

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