(8) Let A and B be m x n matrices. Prove that the rank of A + B is less than or equal to the rank of A plus the rank of B.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 79E: Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A....
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(8) Let A and B be m x n matrices. Prove that the rank of A + B is less than or equal
to the rank of A plus the rank of B.
Transcribed Image Text:(8) Let A and B be m x n matrices. Prove that the rank of A + B is less than or equal to the rank of A plus the rank of B.
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