find the element in matrix of intersecting vectors

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

[KALYAN ACHARJYA]

Sorry I donot geting the question?

[Ani Asoyan]

ok here's the thing.

I have two matrices.

a=[1, 2; 3, 4]
b=[5, 6; 7, 8]

and I maximize 'a' matrix's rows

A(1)=max(a(:,1))
A(2)=max(a(:,2))

and maximize 'b' matrix's colums

B(1)=max(b(1,:))
B(2)=max(b(2,:))

now I have 2 vectors` A and B

Also I combine a and b matrices and get another matrix named c (sorry I didn't include it in the code back then)

endnum2strcell = @(m) arrayfun(@num2str, m, 'UniformOutput', false);  
c=strcat(num2strcell(a), num2strcell(b))

Here's the question

I want to get the element of intersection of 'A' and 'B' vectors, and I want it to find in c matrix.

For example. If

A(1)=a(1,1)

A(2)=a(1,2) ('A' vector will be 'a' matrix's 1st column)

B(1)=b(1,2)

B(2)=b(2,2) ('B' vector will be 'b' matrix's 2nd row)

then the result will be c(1,2)

Answer 1

[Matt J]

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

[Ani Asoyan]

OMG thank you so much !! This is exactly what I wanted!!