W3_T1: Four fundamental vector subspaces

Описание: Welcome to Week 3 Tutorial 1 of the course "Machine Learning Foundations" by Profs. Harish Guruprasad Ramaswamy, Arun Rajkumar, and Prashanth LA.
Full Course: https://study.iitm.ac.in/ds/course_pa...

Video Overview
This tutorial provides a clear and practical overview of the four fundamental vector subspaces associated with a matrix: Column Space, Row Space, Null Space, and Left Null Space. We discuss their definitions, relationships, and the key property of orthogonality between them.You’ll also learn how to calculate their dimensions using the rank and nullity of a matrix. The session includes a worked-out example to help you connect theory to practice and strengthen your problem-solving skills in linear algebra—an essential foundation for machine learning and data science.

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