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

By A Mystery Man Writer

3Blue1Brown - Inverse matrices, column space and null space

Span, Matrix Column Space

Let A be a 9×5 matrix of rank 3 . The row space of A

self study - Hat matrix and leverages in classical multiple

self study - Hat matrix and leverages in classical multiple

Projections onto Subspaces

Span of a Set of Matrices

Solved Give a basis for the column space of this matrix.

Column Space – Isaac's science blog