(3) §2.3, Ex.2.3.2 (No explanation is required for this problem.). Construct a 3 x 4 matrix A and 3 x 1 columns b and c such that [A|b| is the augmented matrix for an inconsistent system, but [Ac] is the augmented matrix for a consistent system. (4) §2.3, Ex.2.3.3. If A is an m x n matrix with rank(A) =m, explain why the system [A|b] must be consistent for every right-hand side h

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
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(3) §2.3, Ex.2.3.2 (No explanation is required for this problem.). Construct a 3 x 4
matrix A and 3 x 1 columns b and c such that [A|b] is the augmented matrix for an
inconsistent system, but [A|c] is the augmented matrix for a consistent system.
(4) §2.3, Ex.2.3.3. If A is an m x n matrix with rank(A) =m, explain why the system [A|b]
must be consistent for every right-hand side b.
Transcribed Image Text:(3) §2.3, Ex.2.3.2 (No explanation is required for this problem.). Construct a 3 x 4 matrix A and 3 x 1 columns b and c such that [A|b] is the augmented matrix for an inconsistent system, but [A|c] is the augmented matrix for a consistent system. (4) §2.3, Ex.2.3.3. If A is an m x n matrix with rank(A) =m, explain why the system [A|b] must be consistent for every right-hand side b.
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