Question: Let A R n,m with n m, have singular values 1 , . . . , m . 1. Show that

Let A ε Rn,m with n ≥ m, have singular values σ1, . . . , σm.

1. Show that the singular values of the (n + m) x

1. Show that the singular values of the (n + m) x m matrix [A] = are vi /1+o, i = 1,...,m. 2. Find an SVD of the matrix .

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