Matrix operations and inverses

What you'll learn

1. 1

   Imagine a matrix as a rectangle of numbers that can transform shapes. Think of it like a magic mirror that flips and stretches a picture!

2. 2

   How many numbers are in a 2x2 matrix?

3. 3

   Here's a matrix: [[1, 2], [3, 4]]. It's like a little box of numbers that can do a job on a shape.

4. 4

   Let's multiply this matrix by a vector [x, y] to transform a point. Watch the steps!

5. 5

   Drag the numbers to complete this matrix multiplication: [[2, 0], [0, 3]] * [1, 2]. What's the result?

6. 6

   What is the result of [[2, 0], [0, 3]] * [1, 2]?

7. 7

   The inverse of a matrix is like its 'undo' button. If M transforms a shape, M⁻¹ transforms it back!

8. 8

   Find the inverse of [[2, 1], [5, 3]]. Let's do it step by step!