(a) Prove that any 2 2 matrix of rank 1 can be written in the form...

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(a) Prove that any 2 × 2 matrix of rank 1 can be written in the form A = uvT where u, v ∈ R2 are non-zero column vectors.
(b) Which rank one matrices correspond to orthogonal projection onto a one-dimensional subspace of R2?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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