Problem 6 Part 1 Give the adjacency matrix for the graph Gas pictured below:| linchudegraphics(vidthel.75inM5-fig2)\| {\color(blue{\bf Figure 2 \emphA graph shows 6 vertices and 9 edges. The vertices are 1,23,45, and 6, represented by circles. The edges betveen the vertices are represented by arrows, as follows i to 3:3 to 2:2 to 1:1 to 6: 6 to 2:3 to ±4 to 5:5 to 6: and a self loop on vertex 5. SEnter your answer below this comment line For more information on creating matrices in LaTeX, see this week's module resources.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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![Problem 6
Part 1
Give the adjacency matrix for the graph Gas pictured below:\\
\ fbox{
\includegraphics[width=1.75in]M5-ig2}1L
{lcolor(bhue}{\bf Figure 2:} \emph(A graph shows 6 vertices and 9 edges. The vertices are 1, 2, 3, 4, 5, and 6, represented by circles. The edges between the vertices are represented by arrows, as follows: 4 to 3; 3 to 2: 2 to 1;1 to 6; 6 to 2:3 to
4: 4 to 5: 5 to 6; and a self loop on vertex 5.
PSEnter vour answer belonv this comment line.
For more information on creating matrices in LATEX, see this week's module resources.
Part 2
A directed graph Glhas 5 vertices, numbered 1 through 5. The 5 x 5|matrix Alis the adjacency matrix for G. The matrices Aland Alare given below.
0 10 0 O
0 0 10 0
100 0 0
100 1 0
0 1 10 1,
A =
0 0 1
0 1 101
1 10 10
Use the information given to anSwer the questions about the graph G.
Ibegin(enumerate} [label=(\alph")]
\ item Which vertices can reach vertex 2 by a walk of length 3?\\|1
%Enter your answer below this comment line.
\ item Is there a walk of length 4 from vertex 4 to vertex 5 in Gt (Hint: A= A. A)||
SEnter your answer below this comment line.
end(enumerate)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27f445ea-1d9a-48bd-a007-85d03e874c3c%2Fb9872712-ea33-4f6c-a2b5-bd8452164512%2Fwqdhrq_processed.png&w=3840&q=75)
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