Why is it interesting?

Linear algebra gives you mini-spreadsheets for your math equations.

We can take a table of data (a matrix) and create updated tables from the original. It’s the power of a spreadsheet written as an equation. An Intuitive Guide to Linear Algebra by Kalid Azad

Layman

Student

• A great introduction is An Intuitive Guide to Linear Algebra by Kalid Azad
• For a quick introduction, see https://minireference.com/static/tutorials/linear_algebra_in_4_pages.pdf
• and http://www.cns.nyu.edu/~eero/NOTES/geomLinAlg.pdf which explains really nicely many linear algebra in geometric terms.
• For a nice guide, see How to Self-study Algebra: Linear Algebra
• https://graphicallinearalgebra.net
• Essence of Linear Algebra video mini-series

Good books are:

• Linear Algebra Done Right by Sheldon Axler
• No bullshit guide to linear algebra by Ivan Savov

A nice video introduction is

• Essence of linear algebra by 3Blue1Brown

Researcher

Common Question 1

Common Question 2

Examples

Example1

Example2:

History