Data Science and Machine Learning (Theory and Projects) A to Z - Mathematical Foundation: Rank

The video tutorial introduces the concept of linear least squares in data science, explaining how vectors in Euclidean space can be used to form linear combinations. It discusses the setup of linear systems, the conditions for their solutions, and the concept of column space. The tutorial also covers scenarios where exact solutions do not exist, leading to the need for approximate solutions using Euclidean distance. The linear least squares problem is formulated as minimizing the norm of residuals, with a focus on understanding matrix products and vector spaces.

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