Matrix multiplication with logical values error

I have this matrix:

 M =

      0     3     0     0
      0     2     0     0
      2     0     3     4
      0     4     0     2

And I call these vectors:

 I=~(any(3==M'))', J=~any(3==M)

 I =

      0
      1
      0
      1

 J =

      1     0     0     1

Why I cant multiplicate "I*J"? And how can I fix it?

 I*J
 Error using  * 
 Both logical inputs must be scalar.
 To compute elementwise TIMES, use TIMES (.*) instead.

I want this result:

 ans =

      0     0     0     0
      1     0     0     1
      0     0     0     0
      1     0     0     1

Thanks

Answer 1

[Massimo Zanetti]

For logical matrices matrix multiplication doesn't apply (because it is not logical operation). To get your Dyadic product, cast to double:

dyd = double(I)*double(J)

NOTE: matrix product is not fully supported for integer classes in MATLAB, so casting to integer types (to save memory) won't work too..

Answer 2

[Hans Ruder]

Alternatively, you can simply do:

dyd = I & J

Then the result will keep the logical data type.