Chain

Matrix Multiplication: 12 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 multiplying a long chain of matrices, one product at a time. You collapse A · B · C · D · E · F from the left, folding each new matrix into the running result. Chaining matrices like this is exactly how a deep network passes data through its layers.

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The rest of the chapter (Page 180 ~ 188) and the solutions are available to AI by Hand Academy members. You can become a member via a paid Substack subscription.