Question: Please help on both problems. Thank you for your help. Will rate and review. 1. Let {ul, ..., un} and {v1, ...,Un} be two orthonormal

Please help on both problems. Thank you for your help. Will rate and review.

1. Let {ul, ..., un} and {v1, ...,Un} be two orthonormal sets in R". Suppose a matrix A ( Rxn satisfies the equations Av =iun, Am=ivi, i=1,....n. Use #1, . ..; un and v1, .... 'n to give a SVD for A. What are the singular values of A? 2. For A c Rmxa, let r be the number of its positive singular values. Show that the dimension of the null space M(A?) equals m - r

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