Civen that A and B are row equivalent. [1 -3/2 0 0 0 -1/6 1 0 0 -1/6 0 1 0 4 -6 0 3 5 2 2 A = -3 -2 0 3 1 В 1/3 0 0 1 -2 3 1 1 12 -8 0 -2 2 1/3 (a) Find the rank of A. (b) Find a basis for the row...

Extracted text: Civen that A and B are row equivalent. [1 -3/2 0 0 0 -1/6 1 0 0 -1/6 0 1 0 4 -6 0 3 5 2 2 A = -3 -2 0 3 1 В 1/3 0 0 1 -2 3 1 1 12 -8 0 -2 2 1/3 (a) Find the rank of A. (b) Find a basis for the row space of A. (c) Find a basis for the column space of A. (d) Find a basis for the nullspace of A. (e) Are the first 4 columns of A linearly independent? Explain your answer. (f) Is the last column of A in the span of column 1, 3, 4, and 5? Explain your answer.