Distributive

Matrix Multiplication: 11 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 splitting a product across a sum to see that A(B + C) equals AB + AC. You can add first and then multiply, or multiply each part and then add, and you reach the same answer. This is the rule that lets you break one big matmul into smaller pieces that add back together.

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The rest of the chapter (Page 167 ~ 175) and the solutions are available to AI by Hand Academy members. You can become a member via a paid Substack subscription.