In R 4 , let v 1 = (1,-1,2,-1), v 2 (1, 0, 2,0), and v 3
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In R4, let v1 = (1,-1,2,-1), v2(1, 0, 2,0), and v3 (1, 0, 2, 0), and v4 = (1, 0, 3, 1).
a. Show that set {v1,v2,v3,v4} is affinely independent.
b. Let A = aff {v1, v2, v3, v4) and B = [f: 3], where f is the linear functional defined by f(x1, x2, x3, x4) = x1 + x2 + x3 – x4. Prove that A = B.
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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