Multiplying two 3-dimensional matrices

I want to multiply (*) the conjugate of a matrix A of size 30x64x4 by a matrix B of size 64x30x4 and get a single result. How can I multiply in Matlab?

Answer 1

[Torsten]

A = rand(30,64,4);
B = rand(64,30,4);
for i = 1:size(A,3)
  C1(:,:,i) = conj(A(:,:,i))*B(:,:,i);
  C2(:,:,i) = B(:,:,i)*conj(A(:,:,i));
end
size(C1)

ans = 1×3

30 30 4

size(C2)

ans = 1×3

64 64 4

[Vecihi He]

"size(A,3) " I don't understand why you made this expression. I want the result to be a single number, for example 0.034, when I multiply the 3D matrices A and B. How can I do it?

[Torsten]

I want the result to be a single number, for example 0.034, when I multiply the 3D matrices A and B.

Then you must define a new rule how to accomplish this. If you include the rule here, someone might be able to implement it.

You could start with a (3x2) and a (2x3) matrix and show us how your rule should look like for 2d-matrices.