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 F= x+ V and F = x + V for vectors x1,  in R". Prove that either F= For F F= ∅. Thus two parallel flats either coincide or are disjoint.

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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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