- #1
spicytaco
- 2
- 0
Hey all,
I was hoping someone could explain to me how to calculate the angle between matrices, ie. two square matrices
[ 2 0
0 -1]
and
[0 1
1 3^(1/2)]
under the inner product <A|B> = trace (A^TB)
Also, how would you go about determining an angle between x and y when they are functions, ie. x = f(x) = x^2 +2 and y=(g(x)=x^3 -7x, under the inner product below:
⟨f |g⟩ =
1
∫ f (x)g(x)dx.
−1
I already know how to determine angle using cos theta = (x^Ty)/ ||x|| ||y|| but does this only work for column and row matrices?
I was hoping someone could explain to me how to calculate the angle between matrices, ie. two square matrices
[ 2 0
0 -1]
and
[0 1
1 3^(1/2)]
under the inner product <A|B> = trace (A^TB)
Also, how would you go about determining an angle between x and y when they are functions, ie. x = f(x) = x^2 +2 and y=(g(x)=x^3 -7x, under the inner product below:
⟨f |g⟩ =
1
∫ f (x)g(x)dx.
−1
I already know how to determine angle using cos theta = (x^Ty)/ ||x|| ||y|| but does this only work for column and row matrices?