(5). If A, B and A+B are each non-singular and the products are conformable, prove that (a). A(A + B)-B = B(A + B)~'A %3D (b). A(A+ B)-1B (A-1+B-)-1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
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(5). If A, B and A+B are each non-singular and the products are conformable, prove that
(a).
A(A + B)-B = B(A + B)~'A
%3D
(b). A(A+ B)-1B (A-1+B-)-1
Transcribed Image Text:(5). If A, B and A+B are each non-singular and the products are conformable, prove that (a). A(A + B)-B = B(A + B)~'A %3D (b). A(A+ B)-1B (A-1+B-)-1
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