Finding similar values in matrices and removing them?

I have some matrices and want to find values that are similar in them and then create new matrices without them.

For example, if I have

one set of x1,y1 values (1,10) (2,20) (3,30) (4,40) (5,50)

second set of x2,y2 values (100,901) (200,902) (300,903) (2,904)

These values are present in different matrices( rows1, columns1) and (rows2, columns2) I want the program to automatically recognize that the x value 2 is shared between the two sets and I want it to remove the whole ordered pair of (2,20) and (2,904) from both sets. It doesn't matter if the y value is shared, only a common x value should signal it to remove the entire ordered pair from both sets.

[Niko]

Do you have only two matrices, or more than two? If more than two, do you want to remove a row only if the x value appears in all matrices, or do you want to remove it as long as x appears more than twice? Also, are the x values in each matrix unique?

Answer 1

[Guillaume]

Assuming that the x values are not repeated in each matrix, and assuming that your weird notation (please use valid matlab notation to avoid ambiguity) means that x is column1 and y is column2, then:

[~, rows1, rows2] = setxor(matrix1(:, 1), matrix2(:, 1));
matrix1 = matrix1(rows1, :);
matrix2 = matrix2(rows2, :);