This workshop is designed to provide intensive, exam-oriented training to students preparing for competitive examinations like CSIR-NET and GATE, with a focus on strengthening core algebraic concepts and problem-solving skills. The workshop covers key topics such as matrices, systems of linear equations, vector spaces, linear transformations, and eigenvalues and eigenvectors, combining conceptual explanations with practical problem-solving techniques. Participants will gain a clear understanding of important concepts, learn time-saving strategies, and improve accuracy in solving problems. The program also includes doubt-clearing sessions and discussions. This workshop enabling students to enhance their confidence and readiness for tackling algebra-related questions effectively in competitive exams.