Method to sum of the elements of different sized matrix in Matlab

Question

Can anybody help me to find out the method to sum of the elements of different sized matrix in Matlab ?

Let say that I have 2 matrices with numbers. Example:

A=[1 2 3;
   4 5 6;
   7 8 9]

B=[10 20 30;
   40 50 60]

I wanna create matrix C filling with sum(absolute subtract of matrix A and B).

Example in MS Excel.

D10=ABS(D3-I3)+ABS(E3-J3)+ABS(F3-K3)

E10=ABS(D4-I3)+ABS(E4-J3)+ABS(F4-K3)

F10=ABS(D5-I3)+ABS(E5-J3)+ABS(F5-K3)

And then (Like above)

D11=ABS(D3-I4)+ABS(E3-J4)+ABS(F3-K4)

E11=ABS(D4-I4)+ABS(E4-J4)+ABS(F4-K4)

F11=ABS(D5-I4)+ABS(E5-J4)+ABS(F5-K4)

Actually A is a 30x8 matrix and B is a 10x8 matrix.

How can i write this in Matlab?

Answer 1

Code

%%// Spread out B to the third dimension so that the singleton
%%// second dimension thus created could be used with bsxfun for expansion in
%%// that dimension
t1 = permute(B,[3 2 1])

%%// Perform row-wise subtraction and then summing of their absolute values
%%// as needed
t2 = sum(abs(bsxfun(@minus,A,t1)),2)

%%// Since the expansion resulted in data in third dimension, we need to 
%%// squeeze it back to a 2D data
out = squeeze(t2)'