Mathematics 2 - 100 Exercises with Solutions

Abstract

This handout provides a carefully curated collection of 100 exercises with detailed solutions in linear algebra, focusing on three fundamental areas: matrices, determinants, and inverses; eigenvalues and eigenvectors; and matrix diagonalization. Designed for undergraduate students, the exercises progress from basic computations to advanced theoretical proofs, offering a complete learning pathway from fundamental concepts to sophisticated applications. Each section begins with essential definitions and properties, followed by progressively challenging problems that reinforce conceptual understanding while developing problem-solving skills. The solutions are presented with step-by-step explanations, multiple solution methods where applicable. This resource serves as both a practice workbook for mastering computational techniques and a reference guide for understanding the theoretical structures of linear algebra, making it good for course supplementation, exam preparation, and self