Multiplying 3D matrices

To 3d-Matrix:

How can i multiplicate two 3d-Matrizes?

When i use following code:

A1=[1,2;3,4];
B1=[5,6;7,8];
C1=[9,10;11,12];
Z1=cat(3,A1,B1,C1)
A2=[1,2;3,4];
B2=[5,6;7,8];
C2=[9,10;11,12];
Z2=cat(3,A2,B2,C2)
Z=Z1*Z2

Then comes this Error:

Error using *

Arguments must be 2-D, or at least one argument must be scalar. Use TIMES (.*) for elementwise multiplication.

But when I use (.*), its the wrong multiplication, because its elementwise and i want a matrixmultiplication.

The result of the first array with .* is

Z(:,:,1) =
     1     4
     9    16

But it should be like

>> A1 * A2
ans =
     7    10
    15    22

Maybe someone can help.

Answer 1

[Bruno Luong]

There is no stock function (what a MATRIX LABORATORY doesn't have such feature?), but here it is MTIMESX

[Aj]

Thats really bad, but thanks. But I dont know, how to use MTIMESX. I read it and i dont understand it. Can you explain me, how I can use it, maybe with my example. That would be awesome

[Bruno Luong]

A1=[1,2;3,4];
B1=[5,6;7,8];
C1=[9,10;11,12];
Z1=cat(3,A1,B1,C1)
A2=[1,2;3,4];
B2=[5,6;7,8];
C2=[9,10;11,12];
Z2=cat(3,A2,B2,C2)

Z=mtimesx(Z1,Z2) % HERE IT IS, SO SIMPLE

Z1(:,:,1) =

     1     2
     3     4


Z1(:,:,2) =

     5     6
     7     8


Z1(:,:,3) =

     9    10
    11    12


Z2(:,:,1) =

     1     2
     3     4


Z2(:,:,2) =

     5     6
     7     8


Z2(:,:,3) =

     9    10
    11    12


Z(:,:,1) =

     7    10
    15    22


Z(:,:,2) =

    67    78
    91   106


Z(:,:,3) =

   191   210
   231   254

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