Let U be the subspace of R5 deÖned by U =  (x1; x2; x3; x4; x5) 2 R5 : 2x1 = x2 and x3 = x5 : (a) Find a basis of U. (b) Find a subspace W of R5 such that R5 = U +W

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let U be the subspace of R5 deÖned by U =  (x1; x2; x3; x4; x5) 2 R5 : 2x1 = x2 and x3 = x5 : (a) Find a basis of U. (b) Find a subspace W of R5 such that R5 = U +W
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