2creation of the svd the creation of the svd uses the diagonalization techniques we have learned in class, just not on a. instead the svd relies on the diagonalization of two matrices: at a and aa first prove the following statement 1. given an mxn matrix a, show that at a and aat are both symmetric since both at a and aat are symmetric, we know thatheir eignvalues are real, but also the eigenvalues of at a are the same as the eigenvalues of aat (with maybe some zeros included or removed). in addition, they are all non-negative. we will show the latter fact