Linear Algebra (The Fundamentals): Linear Applications, Matrices, Determinants, Euclidean Spaces – with Solved Exercises

Master Linear Algebra with Clarity and Rigor.

Linear algebra lies at the heart of higher mathematics, physics, and modern engineering (machine learning, data science, quantum mechanics). This book is designed to provide you with a deep and intuitive understanding of fundamental concepts.

Ideal for students in Mathematics, Engineering, Physics, and ambitious self-learners.

What this book offers you:

• Structured and Progressive Course: Clear definitions, precise theorems, and accessible proofs to build strong foundations.
• Extensive Exercise Bank: A multitude of solved exercises covering all levels, from beginner to expert.
• Key Topics Covered:
  • Vector Spaces and Linear Maps
  • Matrix Calculus and Linear Systems
  • Determinants and Matrix Inversion
  • Reduction of Endomorphisms (Diagonalization)
  • Euclidean Spaces and Inner Products
• Detailed Solutions: Learn standard resolution methods and tips to succeed in your exams and competitions.

Whether you are revising for midterms, preparing for demanding graduate entrance exams, or simply curious to understand the mathematical structure of our world, this work will be your best ally.

Transform abstraction into intuition with "Linear Algebra: The Fundamentals".