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

The video tutorial introduces key concepts in dimensionality reduction, focusing on basis and dimensions within vector spaces. It explains the operation of span, illustrating how a set's span forms another set containing all linear combinations. The tutorial further defines basis as an independent set that spans a vector space, providing examples to clarify the concept. Finally, it discusses dimensions, explaining that the number of basis vectors determines a vector space's dimensions, and cautions against relying solely on coordinate count for dimension determination.

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