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 v= (1,-1,2,-1), v2(1, 0, 2,0), and v(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) = x+ x+ x x4. Prove that A = B. 

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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