Suppose the factorization below is an SVD of a matrix A, with the entries in U and V rounded to two decimal places. .40 -.78 .47 7.10 A = .37 -.33 -.87 3.10 -.84 -.52 -.16 .30 -.51 –.81 .76 .64 -.12 .58 -.58 .58 a. What is the rank of A? b. Use this decomposition of A, with no calculations, to write a basis for Col A and a basis for Nul A. [Hint: First write the columns of V.]

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