MATLAB: Find the element in matrix of intersecting vectors

intersection

Here's my code. I have а & b matrices, and A & B vectors that maximize a's rows and b's colums. also there is another matrix that is a combination of these two matrices ( c ).
I want to have such a result that the intersection of A and B vectors will give the corresponding element from c
For example if
A(1)=a(2,1) & A(2)=a(2,2)
B(1)=b(1,2) & B(2)=b(2,2)
THUS the result is c(2,2)
a=[1,2;3,4]
b=[5,6;7,8]
for i=1:2
A(i)=max(a(:,i))
B(i)=max(b(i,:))
end

Best Answer

 attainedA=( max(a,[],1)==a );
 attainedB=( max(b,[],2)==b );
 
 result = c(attainedA & attainedB)
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