Question))!!
By experimenting, in Matlab -- or by hand -- with different matrices, determine the relationship between the singular values of a matrix and its Hilbert-Schmidt norm. Bonus: prove that the relationship you found is correct. Hint: use the following Matlab commands:
a) [U, Sigma, V] = svd(A). This gives the singular value decomposition of A. Thus A = U*Sigma*V'. Don't forget to transpose V to get A back!
b) norm(A, 'fro'). This gives the Hilbrt-Schmidt norm of a matrix. (The Hilbert-Schmidt norm is also called the Frobenius norm and that's why we put 'fro' in the argument.)
