Combine Rows

Matrix Multiplication: 7 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 building the output as a weighted combination of the rows of the right matrix. A row of weights on the left sets how much of each row in the right matrix to add together, giving w₁·a + w₂·b. This view turns matrix multiplication into mixing rows, which is exactly what a layer does to its inputs.

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The rest of the chapter (Page 105 ~ 127) and the solutions are available to AI by Hand Academy members. You can become a member via a paid Substack subscription.