(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
(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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F718b1378-40e4-4c32-83bc-211fc46d7de4%2F0156bc69-b890-42eb-9eec-a19bfe6d9d80%2F0q8u7sv_processed.jpeg&w=3840&q=75)
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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