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25-05-2023
Mathematics

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Let U be the subspace of R5 defined by U = {(x1, x2, x3, x4, x5) € R5 : 2x1 = x₂ and x3 = x5}. (a) Find a basis of U. (b) Find a subspace W of R5 such that R5 = UW. [10 marks]

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