Prove that the pseudoinverse satisfies the following identities: (a) (A+)+ = A (b) A A+A = A

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Prove that the pseudoinverse satisfies the following identities:
(a) (A+)+ = A
(b) A A+A = A
(c) A+A A+ = A+
(d) (AA+)T = AA+
(e) (A+A)T = A+A
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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