Mastering Linear Algebra

Struggling with the abstraction of linear algebra? Do you understand the course, but get stuck on the exercises?

The key to success in mathematics is practice. That's why "Mastering Linear Algebra" isn't just a simple course, but a true training guide containing over 250 fully solved exercises.

Designed to complement your course and demystify the conceptual leap, this book focuses on applying the theory practically, step-by-step. No more passive reading!

Why is this book different?

• Complete solutions: Every solution doesn't just give you the result, it details the reasoning.

• Active learning: This format allows you to precisely diagnose your errors and build a solid intuition thanks to the "try-check-understand" cycle.

• Exhaustive coverage: All major topics in linear algebra are covered, chapter by chapter.

Main topics covered :

• Matrices and Systems of Linear Equations

• The Determinant

• Vector Spaces (bases, dimension, subspaces)

• Linear Mappings (kernel, image, rank-nullity theorem)

• Eigenvalues, Eigenvectors, and Diagonalization

• Euclidean Spaces (Gram-Schmidt, least squares)

• Spectral Theorem and Quadratic Forms

• Canonical Forms (Jordan) and Complex Spaces

This work is the ideal companion for students in Bachelor's programs (L1/L2), in Preparatory Classes (CPGE), or in any university curriculum requiring a solid mastery of linear algebra.

Don't let linear algebra be an obstacle.