Find the transformation matrix
32 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
reincornator
am 1 Jul. 2021
Kommentiert: John D'Errico
am 1 Jul. 2021
How to find the transformation matrix in MATLAB?
For example:
x1=[1;2];
x2=[4;5];
y1=[3;4];
y2=[2;1];
y1=S*x1;
y2=S*x2;
where S=[s1 s2; s3 s4]
Which function will help you find S?
upd №1: I know how to do it on a piece of paper. But maybe there is a standard function in MATLAB.
0 Kommentare
Akzeptierte Antwort
John D'Errico
am 1 Jul. 2021
First, learn to use matrices, NOT numbered variables. Assuming that you have a matrix X, and a matrix Y, with x1 x2, y1, y2 as columns...
x1=[1;2];
x2=[4;5];
y1=[3;4];
y2=[2;1];
X = [x1,x2];
Y = [y1,y2];
then ONLY if the matrix X is non-singular does a solution exist. So is X singular? It must be of full rank if it is non-singular, or a small condition number.
rank(X)
cond(X)
So X is non-singular. In that case,
format long g
S = Y/X
Does S work? Of course. I could also have written it as S = Y*inv(X), but Y/X is a better choice in MATLAB.
norm(Y - S*X)
So effectively zero, only floating point trash remains.
4 Kommentare
Weitere Antworten (0)
Siehe auch
Kategorien
Mehr zu Linear Algebra finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!