Linear Algebra from First Principles

Spaces, Operators, Matrix Analysis and the Mathematics of Learning

Rajesh Ranjan Mahapatra

Linear algebra built from the ground up and carried to the frontier: vector spaces, linear maps, eigenvalues and the Jordan form; inner products, the spectral theorem and the singular value decomposition; determinants, tensors and quadratic…

This book is being prepared for publication on Kindle. The free online edition and downloads have been withdrawn in the meantime.

© 2026 Rajesh Ranjan Mahapatra. All rights reserved.

Cover of Linear Algebra from First Principles