Let U and V be the subspaces of R3 defined byU = {x: aT x

Chapter 3, Problem 32E

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Let U and V be the subspaces of R3 defined byU = {x: aT x = 0} and V = {x: bT x = 0}Where Demonstrate that the union, U ? V, is not a subspace of R3(see Let abe a fixed vector in R3, and define W to be the subset of R3 given by w = [x: aTx = 0] Prove that W is a subspace ofR3)

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