Prove that for any two compatible matrices A and B, rank (AB) min (rank(A), rank(B)), where

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Prove that for any two compatible matrices A and B, rank (AB) ≤ min (rank(A), rank(B)), where equality holds if either A or B is a nonsingular square matrix.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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Question Posted: Feb 25, 2020 12:09 PM

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Prove that for any two compatible matrices A and B, rank (AB) min (rank(A), rank(B)), where

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A nonsingular matrix is a square one whose determinant is not zero The rank of a matrix A is equal t...View the full answer

Introduction to Algorithms

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