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Lecture 29: Singular value decomposition

The singular value decomposition combines topics in linear algebra rang­ ing from positive definite matrices to the four fundamental subspaces. v1, v2, ...vr is an orthonormal basis for the row space. u1, u2, ...ur is an orthonormal basis for the column space. vr+1, ...vn is an orthonormal basis for the nullspace.

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