(a) Find invertible matrices A and B such that A+ Bis not invertible.(b) Find singular matrices A and B such that A + B is invertible.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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(a) Find invertible matrices A and B such that A+ Bis not invertible.
(b) Find singular matrices A and B such that A + B is invertible.

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