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Consider the following five matrices. Which matrix is an incidence matrix of an undirected graph? 0111 0 1 1 1 M₁ 0 0 0 1, M₂= 1 1 1 0 10 11 101 1 M₁ OM₂ M3 OM4 M3= 100 100 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 1 M5 C M4= None of them 1001 0 1 1 0 0110 0001 100 100 Ms= = 0 0 1 010 10 1

Consider the following five matrices. Which matrix is an incidence matrix of an undirected graph? 0111 0 1 1 1 M₁ 0 0 0 1, M₂= 1 1 1 0 10 11 101 1 M₁ OM₂ M3 OM4 M3= 100 100 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 1 M5 C M4= None of them 1001 0 1 1 0 0110 0001 100 100 Ms= = 0 0 1 010 10 1

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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### Question 22 Consider the following five matrices. Which matrix is an incidence matrix of an undirected graph? \[ M_1 = \begin{bmatrix} 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 \\ 1 & 0 & 1 & 1 \\ \end{bmatrix} \] \[ M_2 = \begin{bmatrix} 0 & 1 & 1 & 1 \\ 1 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 \\ \end{bmatrix} \] \[ M_3 = \begin{bmatrix} 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 \\ \end{bmatrix} \] \[ M_4 = \begin{bmatrix} 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ \end{bmatrix} \] \[ M_5 = \begin{bmatrix} 1 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ \end{bmatrix} \] - \( \circ \) \( M_1 \) - \( \circ \) \( M_2 \) - \( \circ \) \( M_3 \) - \( \circ \) \( M_4 \) - \( \circ \) \( M_5 \) - \( \circ \) None of them
Transcribed Image Text:### Question 22 Consider the following five matrices. Which matrix is an incidence matrix of an undirected graph? \[ M_1 = \begin{bmatrix} 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 \\ 1 & 0 & 1 & 1 \\ \end{bmatrix} \] \[ M_2 = \begin{bmatrix} 0 & 1 & 1 & 1 \\ 1 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 \\ \end{bmatrix} \] \[ M_3 = \begin{bmatrix} 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 \\ \end{bmatrix} \] \[ M_4 = \begin{bmatrix} 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ \end{bmatrix} \] \[ M_5 = \begin{bmatrix} 1 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \\ \end{bmatrix} \] - \( \circ \) \( M_1 \) - \( \circ \) \( M_2 \) - \( \circ \) \( M_3 \) - \( \circ \) \( M_4 \) - \( \circ \) \( M_5 \) - \( \circ \) None of them
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