Introduction to Vectors and linear combinations | #gateexam

In this video, we introduce the core concepts of vectors and linear combinations, which form the foundation of linear algebra and are essential for fields like machine learning, data science, computer graphics, and engineering mathematics.

You will learn:

What a vector is and how to represent it geometrically and algebraically
How to perform scalar multiplication of vectors
How to add and subtract vectors step by step
What linear combinations of vectors mean and why they are important

This lesson is designed for beginners and students preparing for exams such as GATE CSE/DA, engineering mathematics, and university linear algebra courses. The explanations focus on intuition as well as clear mathematical reasoning.

If you’re starting linear algebra or revising the basics, this video will help you build a strong conceptual foundation before moving on to topics like vector spaces, dot products, matrices, and transformations.

Recommended Resources to Learn More:

🔹 Essence of Linear Algebra by 3Blue1Brown (visual and intuitive playlist):
https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr

🔹 Mathematics for Machine Learning (free book by Deisenroth, Faisal & Ong):
https://mml-book.github.io/

🔹 MIT OpenCourseWare – Linear Algebra (Gilbert Strang):
https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/

If you found this video helpful, don’t forget to like, share, and subscribe for more lessons on linear algebra, data structures, algorithms, and exam preparation.

#LinearAlgebra #Vectors #MachineLearningMath #engineeringmathematics

Видео Introduction to Vectors and linear combinations | #gateexam канала ShivParvatiClasses