> For the complete documentation index, see [llms.txt](https://lewisla.gitbook.io/learning-quantum/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://lewisla.gitbook.io/learning-quantum/linear-algebra/linear-algebra-summary/math-references.md).

# Math References

#### Representation of a vector

[*"Euclidean vector"*](https://commons.wikimedia.org/w/index.php?curid=2079346), Oleg Alexandrov (Wikipedia), 19-01-2020

#### Bra-ket notation

[*"Introduction to Quantum Mechanics"*](https://www.amazon.ca/Introduction-Quantum-Mechanics-David-Griffiths/dp/0131118927), David J. Griffiths, p. 119

#### Matrix multiplication image

[*"Deep Learning Book Series · 2.2 Multiplying Matrices and Vectors"*](https://hadrienj.github.io/posts/Deep-Learning-Book-Series-2.2-Multiplying-Matrices-and-Vectors/), Hadrien Jean Ph.D [(@\_hadrienj)](https://twitter.com/_hadrienj), 26-03-2018

#### Representation of 3D space

[*"Three dimensional space"*](https://commons.wikimedia.org/w/index.php?curid=576104), Wikipedia, 11-11-2019

#### Animation of a shear matrix

[*"Visualizing 2D linear transformations"*](https://dododas.github.io/linear-algebra-with-python/posts/16-12-29-2d-transformations.html), Raibatak Das [(@dododas)](https://github.com/dododas), Date unknown

#### 2-D linear transformation image

*"*[ *A stretching and flipping two-dimensional linear transformation"*](https://mathinsight.org/image/linear_transformation_2d_m1_m1_1_3),  Duane Q. Nykamp, Date unknown