I want to multiply a matrix by its transposed in order to knwo if it verify Q<sup>t</sup>Q=I.
Yet when I compute it on matlab I get something strange using a concept I'm not aware of: `conj(x)` which seems to be the complex conjugate.
- Therefore, how to multiply a matrix by its transposed?
Here is the code I tried:
>> syms x
>> A=[cos(x) -sin(x);
sin(x) cos(x)]
A =
[ cos(x), -sin(x)]
[ sin(x), cos(x)]
>> A'*A
ans =
[ cos(conj(x))*cos(x) + sin(conj(x))*sin(x), sin(conj(x))*cos(x) - cos(conj(x))*sin(x)]
[ cos(conj(x))*sin(x) - sin(conj(x))*cos(x), cos(conj(x))*cos(x) + sin(conj(x))*sin(x)]
I should have had 1 at the top left corner, isn't it?
