ELI5: Explain Like I'm 5

Givens rotation

Okay, kiddo, Givens rotation is like if you have a big plate of spaghetti that's all tangled up and you want to untangle it. But instead of pulling it apart with your hands like you do with spaghetti, you use some math tricks.

First, you pick two pieces of spaghetti that are touching each other. These two pieces are like a pair of numbers in a matrix, which is just a fancy word for a grid of numbers.

Then, you imagine a line going through those two pieces of spaghetti, like a line on a piece of paper.

Next, you rotate the whole plate of spaghetti around that line. This is like doing a spin move in a dance or a game.

When you're done spinning, the two pieces of spaghetti that you started with are now untangled from each other. They're like a new pair of numbers in the matrix.

You keep doing these rotations until all the pairs of spaghetti are untangled and the whole plate is all straightened out. This is like solving a math problem with a matrix.

So Givens rotation is a math trick that helps untangle matrices, just like you untangle spaghetti. It's like you're dancing with the numbers and making them easier to understand!