3. Consider the matrix A and its echelon form U ~ A given by *tesource SourseHero.con [2 6 12 8 A= |7 2 vas [1 0 0 1] 0 1 2 1 4 9. U = 9 7 14 16 (a) What is the rank of A? (b) What is the nullity of A? (c) Find a basis for the row space of A. (d) Find a basis for the column space of A. (e) Find a basis for the null space of A. (f) Let b = (6, 2, 7). Without using Gaussian elimination, determine whether the linear system Ax = b is consistent. Be sure to explain your answer.

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