Let V be a k-dimensional subspace (0 k n 1) of R and let
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Let V be a k-dimensional subspace (0 ≤ k ≤ n – 1) of R" and let F1 = x1 + V and F = x + V for vectors x1, in R". Prove that either F1 = F2 or F1 ∩ F2 = ∅. Thus two parallel flats either coincide or are disjoint.
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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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