Strang G. ZoomNotes for Linear Algebra 2021

Textbook in PDF format

Preface
Textbooks, ZoomNotes, and Video Lectures
Three Great Factorizations : LU and QR and SVD
Basic Ideas of Linear Algebra
Solving Linear Equations Ax = b : A is n by n
Vector Spaces and Subspaces, Basis and Dimension
Orthogonal Matrices and Least Squares
Determinant of a Square Matrix
Eigenvalues and Eigenvectors : Ax = λx and Anx = λnx
Singular Values and Vectors: Av=σu and A=UΣV T
Linear Transformations and Their Matrices
Complex Numbers and the Fourier Matrix
Learning from Data : Minimize Loss by Gradient Descent
Basic Statistics : Mean, Variance, Covariance