MATLAB: How to check and update one matrix by comparing the element of another matrix

matrixmatrix arraymatrix manipulation

I have a matrix 10*3
1 2 3
1 2 4
1 2 5
1 3 4
1 3 5
1 4 5
2 3 4
2 3 5
2 4 5
3 4 5
now i want to check whether second and third column pairs are existing in another 10 by 2 matrix or not
example:
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5
and if any pair from 10 by 3 matrix is not able to satisfy the condition will be removed.
for example:
in first row 1 2 3 — 2 3 is available in 10*2 matrix so will keep that row as it is but if this condition is not satisfied, the entire row will be removed from 10*3 matrix
please please help me.

Best Answer

Use ismember with the 'rows' option:
A = [1 2 3; 1 2 4; 1 2 5; 1 3 4; 1 3 5; 1 4 5; 2 3 4; 2 3 5; 2 4 5; 3 4 5];
B = [1 2; 2 3; 4 5]; %reduced second matrix so some rows of A are missing
isrowpresent = ismember(A(:, [2 3]), B, 'rows');
A(~isrowpresent, :) = [] %delete rows not present