MIT
18 06 -
Lecture 14
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Lecture 14 Example Ax b and m n so A has too many equations and no solution p projection of b into C A Best Solution Ax p Error e b p The key equation A Ax A b A A produces an n x n square matrix We see that e is perpendicular to the column space Orthogonal vectors Orthogonal subspaces every u in S is perpendicular to every v in T Orthogonal complements the dimension of S plus the dimension of T is equal to n Orthonormal basis all the vectors should have length one Also called a standard basis
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