Matrix Algebra
Khan Academy
This course takes you through roughly three weeks of MATH 1554, Linear Algebra, as taught in the School of Mathematics at The Georgia Institute of Technology.
More resources on Matrix Algebra
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Matrix Calculus for Machine Learning and Beyond (MIT 18.S096)
Extends calculus to matrices and general vector spaces: derivatives as linear operators, Jacobians, derivatives of matrix factorizations, adjoint methods and automatic differentiation. 17 lecture videos, lecture notes, and problem sets with solutions teach learners to derive and compute gradients for large-scale optimization.
Linear Algebra - Khan Academy
Learn linear algebra fundamentals, including matrices, vectors, and transformations, with Khan Academy's comprehensive course.
Essence of Linear Algebra
Grasp determinants with 3Blue1Brown's "Essence of Linear Algebra" course. Visualize and understand this key linear algebra concept.
Linear Algebra (MIT 18.06)
Matrix theory and linear algebra: systems of equations, elimination, vector spaces and subspaces, orthogonality and least squares, determinants, eigenvalues and positive definite matrices. Includes 35 lecture videos plus problem sets and exams with solutions, giving the fluency needed for applied mathematics, engineering and data science.
Vectors | Chapter 1, Essence of Linear Algebra
Opening chapter of Grant Sanderson's animated linear algebra series, contrasting the physics, computer science and mathematics views of vectors. Shows vectors as arrows and coordinate lists, and how addition and scalar multiplication work geometrically, laying intuition for linear combinations and transformations.