So, my semester is ending in less than one week, and I've been studying for my Linear Algebra exam, but I can't seem to solve this problem.

I.e : a line, defined by a 2*n matrix of points, will stay a line after being transformed by a matrix.A, B, C -> 3 points [x, y];

M -> a transformation Matrix.

Demonstrate that if A, B and C are aligned, MA, MB and MC are also aligned.

If anyone could help me, I'd appreciate it, I've tried searching for a similar thread, but nothing came up. I hope it's clear enough

Also, feel free to correct my English, the terminology i used might not be correct since it's directly translated from French.