Singular value decomposition (SVD)

[Sufia]

Is the statement true or false?
"The SVD of 2×3 matrix is unique."

 

[Harry_the_cat]

What is your definition of SVD?

 

[Sufia]

What is your definition of SVD?

Singular value decomposition (SVD) is a matrix factorization method that generalizes the eigendecomposition of a square matrix (n x n) to any matrix (n x m) . General formula of SVD is:
M=USVᵗ, where:

• M-is original matrix we want to decompose
• U-is left singular matrix (columns are left singular vectors). U columns contain eigenvectors of matrix MMᵗ
• S-is a diagonal matrix containing singular (eigen)values
• V-is right singular matrix (columns are right singular vectors). V columns contain eigenvectors of matrix MᵗM