Affine representation

An affine representation is like playing with blocks. Let's say you have a bunch of blocks of different shapes and sizes. You can move them around, stack them up, and rotate them to make different shapes and designs.

Now imagine you have a piece of paper with a grid on it. You can use the grid to help you move and rotate the blocks in a precise way.

In math, an affine representation is like the grid on the paper. It helps us move and transform points and shapes in a precise way. We can think of points as the blocks, and using the affine representation, we can move them around, rotate them, and even change their size and shape.

This is helpful in many fields, like computer graphics and physics, where we need to model and manipulate shapes in the real world. By using an affine representation, we can make sure our calculations are accurate and predictable.