Question

Define singular value decomposition

Answer 1

In linear algebra, the singular-value decomposition (SVD) is a factorization of a real or complex matrix. It is the generalization of the eigendecomposition of a positive semidefinite normal matrix (for example, a symmetric matrix with positive eigenvalues) to any {\displaystyle m\times n} m\times n matrix via an extension of the polar decomposition. It has many useful applications in signal processing and statistics.

Answer 2

In linear algebra, the singular-value decomposition is a factorization of a real or complex matrix. It is the generalization of the eigendecomposition of a positive semidefinite normal matrix to any matrix via an extension of the polar decomposition. It has many useful applications in signal processing and statistics