Question: Consider the following matrix: 0 0 2 4 4 0 1 -7 2 3 A = 14 1 1 1 0 0 00 1

Consider the following matrix: 0 0 2 4 4 0 1 -7 2 3 A = 14 1 1 1 0 0 00 1 0 2 1 6 2 (a) (4 points) Obtain the PLU factorization of A. Use partial pivoting to determine whether to exchange rows. P = U = (b) (1 point) Based on this PLU factorization, what is the dimension of the span of A's columns?

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