Problem 3. Let A be the incidence matrix of the digraph G given by аз a4 a2 v2 V3 V4 a5 Let b= 5 -3 -1 -1'. Determine if the system Ax = b is consistent without finding A. Hint. We can find a basis of Null(AT) without finding A. How would this basis help in determining if Ax = b is consistent?
Problem 3. Let A be the incidence matrix of the digraph G given by аз a4 a2 v2 V3 V4 a5 Let b= 5 -3 -1 -1'. Determine if the system Ax = b is consistent without finding A. Hint. We can find a basis of Null(AT) without finding A. How would this basis help in determining if Ax = b is consistent?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 42EQ
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