Svd Function
Singular value decomposition of a matrix
Description
The Function \(Svd\) calculates a singular value decomposition of the symbolic matrix M.
\(Svd\) is implemented as a RedCrab class. The result is an object of class \(Svd \).
Syntax
Svd (Matrix)
Svd (Format, Matrix)
Elements of class Svd
M
\(m * n\) Matrix whose entries are real numbers
S
Returns the singular values of the matrix in ascending order
U
Returns the left singular vectors (\(U, m * m \) unitary matrix)
VT
Returns the transported right singular vectors (transposed V, \(n * n \) unitary matrix)
W
Returns the singular values as a diagonal matrix
Example
Alternative syntax for calculating \(VT\)