How to do matrix or table multiplication?

Hi,

I have this two tables or matrix, where i am looking to perform the addition of 1st element in the first matrix of first row with the all element in the first row of second matrix and similarly with the second element in the first matrix of first row with the all the elements of first row in second matrix. Similarly with the second and third row elements.

Is there any easy way or formula to do this? even if the size of the matrix changes

Example:

IntakeTable =  [0 3 2 
                4 2 2 
                4 4 4 ];
ExhaustTable = [0 3 2 
                4 2 2 
                2 2 2 ];
            
 resultTable =[0+0 0+3 0+2 3+0 3+3 3+2 2+0 2+3 2+2
               4+4 4+2 4+2 2+4 2+2 2+2 2+4 2+2 2+2
               4+2 4+2 4+2 4+2 4+2 4+2 4+2 4+2 4+2]               

Answer 1

[Walter Roberson]

resultTable = kron(IntakeTable,ones(1,size(ExhaustTable,2))) + repmat(ExhaustTable,1,size(IntakeTable,2));

[raghavendra kandukuri]

Thank you @ Walter

Answer 2

[Bjorn Gustavsson]

Looping seems simplest and most easily readable for humans:

szI = size(IntakeTable);
szE = size(ExhaustTable);
resultTable = zeros(size(ExhaustTable,1),size(ExhaustTable,2)*size(IntakeTable))
for i1 = 1:szI(2),
  resultTable(:,(1:szE,2)+(i1-1)*szE(2)) = repmat(IntakeTable(:,i1),1,szE(2)) + ...
      ExhaustTable;
end

HTH

[raghavendra kandukuri]

Thank you@ Bjorn Gustavsson

Answer 3

[Adam Danz]

resultTable = repmat(ExhaustTable,1,3) + repelem(IntakeTable,1,3)

Or, if the number of columns vary,

resultTable = repmat(ExhaustTable,1,size(IntakeTable,2)) + repelem(IntakeTable,1,size(ExhaustTable,2))

[raghavendra kandukuri]

Thank you@ Adam