Using MatLab, I need to create a 2d triangle in matrix S, rotate it, and plot. I know that matrix S needs to have 2 rows and 4 columns, but I do not know how to fill in the matrix. I also do not know how to plot the triangle in MatLab. Would appreciate some help, what I have done so far is attached 1 %Create the standard matrix A that rotates a point 60 degrees counterclockwise about the origin.2 A =[cos (pi/3) -sin(pi/3); sin(pi/3) cos(pi/3)]3 %Create a matrix S containing the points of the triangle as the columns.4 S = [? ? ? ? ; ? ? ? ?]56 %Perform matrix multiplication to transform each of the points in S.Store this in T1.8 %Plot the original triangle and the transformed triangle in a single graph.9 For this activity, rotate the triangle formed by the points (0,0), (1,1), and (3,0) counterclockwise 60° about the origin. The orderfor drawing the triangle is to start at point (0,0), move to (1,1), then to (3,0), and finish at (0,0).

First we will initialize the triangle matrix. Then we will define the rotation matrix. After that we…

Answered: Using MatLab, I need to create a 2d…

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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Using MatLab, I need to create a 2d triangle in matrix S, rotate it, and plot. I know that matrix S needs to have 2 rows and 4 columns, but I do not know how to fill in the matrix. I also do not know how to plot the triangle in MatLab. Would appreciate some help, what I have done so far is attached

1 %Create the standard matrix A that rotates a point 60 degrees counterclockwise about the origin.
2 A =
[cos (pi/3) -sin(pi/3); sin(pi/3) cos(pi/3)]
3 %Create a matrix S containing the points of the triangle as the columns.
4 S = [? ? ? ? ; ? ? ? ?]
5
6 %Perform matrix multiplication to transform each of the points in S.
Store this in T1.
8 %Plot the original triangle and the transformed triangle in a single graph.
9

For this activity, rotate the triangle formed by the points (0,0), (1,1), and (3,0) counterclockwise 60° about the origin. The order
for drawing the triangle is to start at point (0,0), move to (1,1), then to (3,0), and finish at (0,0).

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