Not Commutative

Matrix Multiplication: 9 of 16

Library › Matrix Multiplication

1. Calculate

2. Complexity

3. Shape

4. Identity

5. Scale

6. Shift

7. Combine Rows

8. Combine Columns

9. Not Commutative

10. Associative

11. Distributive

12. Chain

13. Transpose

14. Inverse

15. Linear Equations

16. Tiled Algorithm

In this chapter you will practice swapping the order of a product to see that A · B is not B · A. Reversing the order can change the result, and often even changes the shape of the answer. Order carries meaning in matrix math, which is why the sequence of layers in a model matters.

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The rest of the chapter (Page 147 ~ 151) and the solutions are available to AI by Hand Academy members. You can become a member via a paid Substack subscription.