Core · Module 04
Arguably the single highest-return module in this entire curriculum. Quantum mechanics, machine learning, computer graphics and optimisation are all applied linear algebra.
By the end of this module
You can see matrices as transformations rather than grids of numbers — which is the key to physics, graphics, statistics and machine learning alike.
What is a vector, if not an arrow?
3Blue1Brown
Fifteen videos that make the rest of the subject feel obvious.
MIT OCW
Gilbert Strang. Possibly the most beloved mathematics course ever recorded.
What is a matrix actually doing to space?
What does the determinant measure?
Ström, Åström & Akenine-Möller
A textbook where every figure is interactive.
Which directions does a transformation leave alone?
What is the best low-dimensional summary of a high-dimensional thing?
Check yourself
Every answer comes with the reasoning, not just a verdict. Getting one wrong and reading why is the point.
01det(A) = 0 means:
02An eigenvector of A is a vector that:
03The rank of a matrix is: