Best YouTube Videos on Vector Spaces by Physics Wallah for GATE DA, CS & EC
Mishika Gupta9 Apr, 2026
The abstract rules of Vector Spaces can be difficult to grasp at first. You might feel overwhelmed by the formal definitions of subspaces or struggle to visualise how basis and dimension actually function within a coordinate system. This confusion often leads to losing marks on what should be a high-scoring section of the exam.
With Physics Wallah sessions, you get concept-focused explanations, exam-oriented questions, and smart solving techniques in one place. This approach helps you apply concepts with clarity, improve accuracy, and solve questions faster in the actual exam.
Video 1: Understand Core Concepts of Vector Spaces with Clear Examples
This video introduces the concept of Vector Spaces, explaining their definition, properties, and importance in linear algebra and data analysis. It covers topics such as the axioms of vector spaces, examples of common Vector Spaces, and the role of scalars and vectors in forming linear combinations. The session also highlights subspaces, the zero vector, and closure properties, making it easier for you to grasp how vector spaces provide an organised framework for solving problems in mathematics, engineering, and computer science.
Video 2: Learn to Find Basis and Dimension with Problem-Solving Approach
This video builds the fundamentals of Vector Spaces by exploring subspaces, span, basis, and dimension in detail. It explains how sets of vectors can generate entire spaces through linear combinations, introduces the concept of linear independence, and demonstrates how to determine the dimension of a Vector Space. Practical examples, including polynomial and matrix spaces, are used to connect abstract theory with real-world applications.
These videos by GATE Wallah are designed to turn a difficult subject into a scoring advantage for you. By using these videos to guide your study routine, you ensure that your preparation stays aligned with the latest exam patterns. This focused approach will give you the confidence to perform under pressure and achieve your target score for future opportunities.