Comment by hatthew

A straightforward solution for larger puzzles: if you click on the four corners of a rectangle, you flip those corners while leaving the rest of the rows/columns the way they started. So after you pick the low hanging fruit at the start, find any rectangle with 3 or 4 white corners, and then click on all 4 corners of that rectangle. If this leaves you with a just one white in each row and column, it's easy and doesn't require memorization to click each of those whites to get to the solved state.