Changes

*To find Singular Value Decomposition we have to follow the below rules:

*To find Singular Value Decomposition we have to follow the below rules:

  *The left-singular vectors of the matrix M are a set of orthonormal eigenvectors of MM∗.

  *The left-singular vectors of the matrix M are a set of orthonormal eigenvectors of MM∗.

  *The right-singular vectors of M are a set of orthonormal eigenvectors of <math>M^{∗}M</math>.

  *The right-singular vectors of M are a set of orthonormal eigenvectors of <math>M^*M</math>.

  *The non-zero singular values of M (found on the diagonal entries of Σ) are the square roots of the non-zero eigenvalues of both <math>M^∗M</math> and <math>MM^∗</math>.

  *The non-zero singular values of M (found on the diagonal entries of Σ) are the square roots of the non-zero eigenvalues of both <math>M^*M</math> and <math>MM^*</math>.