SetA = round(10 ∗ rand(10, 5)) and s = svd(A) Set[U, D, V ] = svd(A);D(5, 5) = 0;B = U ∗ D ∗ V' The matrix B should be the closest matrixof rank 4 to A (where distance is measuredin terms of the Frobenius norm). Compute||A||2 and ||B||2. How do these values compare?Compute and compare the Frobenius normsof the two matrices. Compute also ||A − B||Fand compare the result with s(5). Set r =norm(s(1 : 4)) and compare the result to ||B||F.

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