Hi Durga,
There’s an error in your calculations here. You mention that for the SVD of a
symmetric matrix, we must have U=V, but this is not a correct statement. The
unitary matrices are only equivalent if the matrix A is positive semidefinite.
In your example, you provide the matrix {{1,4},{4,1
Hi Martin, Thank you for your reply. The response and the links provided by
you helped to learn more. But I am not able to obtain the simple even
powers of a matrix: one simple case is the square of a matrix. The square
of the matrix using direct matrix multiplication operations and svd (A = U
D V'