Question: 8. Suppose matrices in PA = LU are [0 1 0 0 0 0 0 002-14 2 O 0 1 -32 0 0 0

8. Suppose matrices in PA = LU are [0 1 0 0

8. Suppose matrices in PA = LU are [0 1 0 0 0 0 0 002-14 2 O 0 1 -32 0 0 0 0 02 1 0 0000 100 1 1 1 2 1 -3 2 1000 2-14 1 2 0001 4-29 1 4 001 2 -15-1 5 O (a) What is the rank of A? (b) find a basis for the row space of A. (c) True of false: rows 1,2,3 of A are linearly independent. (d) Find a basis for the column space of A. (e) What is the dimension of the left nullspace of A?

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