Associative

Matrix Multiplication: 10 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 regrouping a chain of products to see that (A · B) · C equals A · (B · C). The grouping you pick changes the work along the way but never the final result. That freedom is what lets you fuse or reorder the matmuls in a model for speed.

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The rest of the chapter (Page 155 ~ 163) and the solutions are available to AI by Hand Academy members. You can become a member via a paid Substack subscription.