advanced-linear-algebra
The SVD: statement and existence
taught
Every matrix, of any shape, factors as A = U*Sigma*V^T with U,V orthogonal and Sigma diagonal and nonnegative -- proved by applying the complex spectral theorem to A^T A.
Taught in
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The SVD: statement and existence
Advanced Linear Algebra
Requires
Required by
- Polar decomposition required
- Singular values and singular vectors required
- The pseudoinverse required
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Local knowledge map
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