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
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Problem 3. Let A be the incidence matrix of the digraph G given by
a4
аз
V3
V4
vị
a2
U2
a5
a1
b is consistent without finding A.
Let b = [5 -3
-1 -1'. Determine if the system Ax =
Hint. We can find a basis of Null(AT) without finding A. How would this basis help in determining if Ax = b
is consistent?
Transcribed Image Text:Problem 3. Let A be the incidence matrix of the digraph G given by a4 аз V3 V4 vị a2 U2 a5 a1 b is consistent without finding A. Let b = [5 -3 -1 -1'. Determine if the system Ax = Hint. We can find a basis of Null(AT) without finding A. How would this basis help in determining if Ax = b is consistent?
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