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10. Draw a graph with numbered and directed edges (and numbered nodes) whose inci- dence matrix is A = 1 0 0 10 1 0 1 0 0 0 -1 1 Is this graph a tree? (Are the rows of A independent?) Show that removing the last edge produces a spanning tree. Then the remaining rows are a basis for ?

10. Draw a graph with numbered and directed edges (and numbered nodes) whose inci- dence matrix is A = 1 0 0 10 1 0 1 0 0 0 -1 1 Is this graph a tree? (Are the rows of A independent?) Show that removing the last edge produces a spanning tree. Then the remaining rows are a basis for ?

Advanced Engineering Mathematics
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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10. Draw a graph with numbered and directed edges (and numbered nodes) whose inci- dence matrix is A = = -1 1 0 0 -1 0 1 0 0 1 0 −1 0 0 -1 1 Is this graph a tree? (Are the rows of A independent?) Show that removing the last edge produces a spanning tree. Then the remaining rows are a basis for ?
Transcribed Image Text:10. Draw a graph with numbered and directed edges (and numbered nodes) whose inci- dence matrix is A = = -1 1 0 0 -1 0 1 0 0 1 0 −1 0 0 -1 1 Is this graph a tree? (Are the rows of A independent?) Show that removing the last edge produces a spanning tree. Then the remaining rows are a basis for ?
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