PLEASE ACTUALLY DO THIS:

Create a systematic way to quantify a distortion of space resulting from a matrix acting on objects in !. Your goal is to assign a single real number to any 2x2 matrix to measure how it changes the size of objects in space. Your measure needs to work consistently across all 2x2 matrices and all preimage/image pairs. Use the examples above as inspiration.

In these examples, the same matrix transforms all pre-images from one column into their images in the next column. In other words, as you move from one column t the next, it'! 1) Create : - Your goal is to assign a single real number to any 22 matrix to measure how it changes the size of objects in space. - Your measure needs to work consistently across all 22 matrices and all preimage/image pairs. Use the examples above as inspiration