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4. (12 pts) Consider a matrix A = 0 10-1 0 1 0 1 1.5 0 -1.5 00 0 1 2 1 2 2

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4. (12 pts) Consider a matrix A = 0 10-1 0 1 0 1 1.5 0 -1.5 00 0 1 2 1 2 2 4 6 2 3 6 9. Suppose we have found its reduced row echelon form as 0002 4 (a) (8 pts) Find its row, column, left null and null spaces as a span of their basis vectors. (b) (4 pts) Does A has a one-sided inverse? If yes, find one.

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