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Solve the following problems, showing any necessary work. 1. [3 points) Find a basis for W+, the orthogonal complement of W,

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Answer #1

W 14 = Span) 16 517 20. Toe TT 4 4.1. 15 16 +20 -3 it - 4G+ 5 6 = 0 164, +2002=0 -39.- C₂ = 0 50,- 2 C2 = 0 → 49 +56=0 -30, -Therefore 201 is a basis for wr WT = 14 16 -3 5 7 15 20 -1 -2 14 16 -3 5 10 5 20 1-2 g [ 4 -/4 5/4 ° Pe-o 5A 01 so x + 4X2 -ar 90+ 1222 12 . ( ((t 43, 111 Tihoxeone I is a basis for WT. 3/

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