Rank of a Matrix - Lecture 6.2

Explore the fundamental concept of matrix rank in this comprehensive lecture. Delve into the mathematical properties and significance of matrix rank, understanding its role in linear algebra and its applications. Learn how to calculate and interpret the rank of a matrix, examining its relationship to linear independence, matrix invertibility, and system solvability. Gain insights into the practical implications of matrix rank in various fields such as data analysis, signal processing, and machine learning.