The conditions for affine dependence are stronger than those for linear dependence, so an affinely dependent set
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The conditions for affine dependence are stronger than those for linear dependence, so an affinely dependent set is automatically linearly dependent. Also, a linearly independent set cannot be affinely dependent and therefore must be affinely independent. Construct two linearly dependent indexed sets S1 and S2 in R2 such that S1 is affinely dependent and S2 is affinely independent. In each case, the set should contain either one, two, or three nonzero points.
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Let S 1 consist of three distinct points on a line through the origin The set is affinely depend...View the full answer
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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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