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Column Space, Null Space, and Rank of a Matrix

Offered By: NPTEL-NOC IITM via YouTube

Tags

Linear Algebra Courses Vector Spaces Courses Linear Transformations Courses Matrix Theory Courses Linear Independence Courses

Course Description

Overview

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Explore the fundamental concepts of linear algebra by delving into column space, null space, and matrix rank in this 25-minute lecture. Begin with a brief introduction and recap of essential principles before examining the relationship between matrices and linear maps. Analyze practical examples to solidify your understanding, then learn a general method for determining these crucial matrix properties. Conclude the session with a feedback segment to reinforce your newly acquired knowledge.

Syllabus

Introduction
Recap
Matrix and linear map
Examples
General Method
Feedback


Taught by

NPTEL-NOC IITM

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