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In R, let W be the set of solutions of the homogeneous linear equation x+2y+3z=0. Let L be the set of solutions of the
In R, let W be the set of solutions of the homogeneous linear equation x+2y+3z=0. Let L be the set of solutions of the inhomogeneous linear equation x+2y+3z = 6. (a) Define affine subspace of a vector space. (b) Prove that L is an affine subspace of R. (c) Compute a vector v such that L = v + W.
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Linear Algebra and Its Applications
Authors: David C. Lay
4th edition
321791541, 978-0321388834, 978-0321791542
