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linalg-theory-intuition-code

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Jupyter notebooks with notes, code, and exercises from Linear Algebra: Theory, Intuition, Code by Mike X Cohen (2021).

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# linear algebra: theory, intuition, code

This repo contains jupyter notebooks with notes, code, and exercises from the book _Linear Algebra: Theory, Intuition, Code_ by Mike X Cohen (Cohen, 2021).

![Low Rank Approximations of a Photo of Einstein's Tongue](https://raw.githubusercontent.com/marcoemorais/linalg-theory-intuition-code/main/figures/16-SVD-einstein-tongue.png)

My intent with this repo was not to reproduce all of the details from the book. Instead I created these notebooks as I worked through the book in order to engage more deeply with the material using my own code. Even though I have taken semester-long courses in linear algebra and a graduate course in numerical analysis, I gained a lot of intuition from this book and highly recommend it.

```
@book{cohen2021linear,
    title={Linear algebra: Theory, intuition, code},
    author={Cohen, Mike X},
    year={2021},
    publisher={[Sl]: Sincxpress Bv}
}
```

Find more information about the book at the links below:

https://github.com/mikexcohen/LinAlgBook

https://www.amazon.com/Linear-Algebra-Theory-Intuition-Code/dp/9083136604

## Chapter Notes

[02-Vectors](02-Vectors.ipynb)

[03-Vector-Multiplications](03-Vector-Multiplications.ipynb)

[04-Vector-Spaces](04-Vector-Spaces.ipynb)

[05-Matrices](05-Matrices.ipynb)

[06-Matrix-Multiplication](06-Matrix-Multiplication.ipynb)

[07-Matrix-Rank](07-Matrix-Rank.ipynb)

[08-Matrix-Spaces](08-Matrix-Spaces.ipynb)

[09-Complex-Numbers](09-Complex-Numbers.ipynb)

[10-Systems-of-Equations](10-Systems-of-Equations.ipynb)

[11-Determinant](11-Determinant.ipynb)

[12-Matrix-Inverse](12-Matrix-Inverse.ipynb)

[13-Projections](13-Projections.ipynb)

[14-Least-Squares](14-Least-Squares.ipynb)

[15-Eigendecompositions](15-Eigendecompositions.ipynb)

[16-SVD](16-SVD.ipynb)

[17-Quadratic-Form](17-Quadratic-Form.ipynb)

[18-Covariance-Matrices](18-Covariance-Matrices.ipynb)

[19-PCA](19-PCA.ipynb)

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