[0 1 0 1 0 1 0 1 0 Consider the 3 x 3 matrix . A = A) Draw a graph whose adjacency matrix is A. B) Write down the adjacency matrix for the Line Graph, L(G), of the graph G you used in part (a). C) Take your graph G from part (a) and add one extra vertex to it (but do not add any additional edges) to create a new graph, G'. Write down the adjacency matrix for G'.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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0 1 0
1 0 1
0 1 0
Consider the 3 × 3 matrix .
A =
A) Draw a graph whose adjacency matrix is A.
B) Write down the adjacency matrix for the Line Graph, L(G), of the graph G
you used in part (a).
C) Take your graph G from part (a) and add one extra vertex to it (but do not
add any additional edges) to create a new graph, G'. Write down the
adjacency matrix for G'.
Transcribed Image Text:0 1 0 1 0 1 0 1 0 Consider the 3 × 3 matrix . A = A) Draw a graph whose adjacency matrix is A. B) Write down the adjacency matrix for the Line Graph, L(G), of the graph G you used in part (a). C) Take your graph G from part (a) and add one extra vertex to it (but do not add any additional edges) to create a new graph, G'. Write down the adjacency matrix for G'.
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