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How is it the Hat matrix spans the column space of X? Really nice

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Understanding Regression with Geometry, by Ravi Charan

What is Column Space? — Example, Intuition & Visualization

What is the difference in these two column bases? : r/askmath

Introduction to the Hat matrix in regression

self study - Hat matrix and leverages in classical multiple

What is the importance of hat matrix, $H=X(X^ op X)^{-1} X^ op

Linear Algebra - 19 - Basis for Column Space

Dimension of the column space or rank, Vectors and spaces, Linear Algebra