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1. Let w = 1 2 - • W = { u € R¹ | u w = 2 }, and V = u- for all u Є W (a) (2

points) Is W a subspace? Explain your answer. (b) (6 points) Show that V is a subspace and that T = basis for V. -2 is a {(0)·(0·0}- 4 (c) (2 points) Let T be the basis of V defined in (b). Find Show your 5 T workings, however, you do not need to show your elementary row operations.

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