Okay kiddo, imagine you have a bunch of toys in a room that are all lined up in a straight line. If you pick up the first toy and move it to the end of the line, that is a linear map.
But now, what if instead of moving toys one by one, you move them in groups of two but flip the order of the toys in each group before moving them to the end of the line? That is like an antilinear map!
It's kind of like how you might flip your hands when doing certain dance moves or magic tricks. Just like how a linear map keeps everything in order, an antilinear map mixes things up and flips them around.