[o o 0] 1. Consider the graph G with adjacency matrix M = |0 0 1 0 1 0 (a) Sketch G. (b) Compute PDP-1, where [0 -1 17 1 -1 10 1 0 -1 0 0 1 0 0 0 P = P-1 1 1 D = 1 2 2 (c) Compute M57. (d) How many paths of length 57 are there between vertex 2 and vertex 3?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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[O 0 01
1. Consider the graph G with adjacency matrix M = |0 0 1
0 1 0
(a) Sketch G.
(b) Compute PDP-1, where
[0 -1 17
1
-1 10
1 0
-1 0 0
1 0
0 0
P =
P-1
1
1
D =
1
2
2
(c) Compute M57.
(d) How many paths of length 57 are there between vertex 2 and vertex 3?
Transcribed Image Text:[O 0 01 1. Consider the graph G with adjacency matrix M = |0 0 1 0 1 0 (a) Sketch G. (b) Compute PDP-1, where [0 -1 17 1 -1 10 1 0 -1 0 0 1 0 0 0 P = P-1 1 1 D = 1 2 2 (c) Compute M57. (d) How many paths of length 57 are there between vertex 2 and vertex 3?
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