Here I will post my sample code corresponding to the running contest on linear transformation.
clear %clear all variables from matlab memory workspace
close all % close all figure windows (like previous plots)
clc % clear the screen
%% This section just creates a square 2D mesh of vectors
[X Y] = meshgrid(-10:1:10); % coordinates for vector positions
VX = X; % X,Y components of vector
VY = Y;
quiver(X, Y, VX, VY, 2)
title('Input: The 2D space')
axis square
%% reshaping the vectors for linear transformation
YY=reshape(VY,[1 21*21]);
XX=reshape(VX,[1 21*21]);
XY=[XX ;YY];
A=[1 2;-0.5 1]; % Our transformation matrix A
XY_t=A*XY; % linear transform operation
%% This section just creates a "transformed" 2D mesh of vectors
X_t=reshape(XY_t(1,:),[21 21]);
Y_t=reshape(XY_t(2,:),[21 21]);
figure
quiver(X_t, Y_t, VX, VY, 2)
axis square
title('Output: The transformed 2D space')
Don't use modified versions of this code as a solution! (A friendly warning.)
The input and output of the code is given below:
Input
Output
The transformation matrix considered is
A=
1 2
-0.5 1
Yes I have copy-pasted my code from github!
Don't blame me for plagiarism because I have uploaded it yesterday in github.
I am tagging #steemstem because this contest comes as a part of Linear algebra article I wrote recently. So I don't expect #steemstem vote for this. See those articles below:
- Linear Transformations: A 20 SBD coding contest announcement!
- Eigen Values and Eigen Vectors: Visually Explained!
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All images without image sources are my creations :)
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