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Let A = 1 3 2 1 1 2 2 0 4 = 1 0 0 1 1 0 2 3 1 1 3 2

Let A = 1 3 2 1 1 2 2 0 4 = 1 0 0 1 1 0 2 3 1 1 3 2 0 2 0 0 0 0 = LU. (a) Find a basis for the column space Col A. (b) Find a basis for the null space Nul A. (c) Find a basis for the row space Row A. (d) Determine rank A. (e) Determine the dimension of Nul A. (f) Determine whether Col A = R 3 . 3. (30 points) Let S = {p1, p2, p3, p4} b

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-2 0 (60 points) Let A = 1 1 -2 1 1 = LU. 2 0 4 2 -3 1 (a) Find a basis for the column space Col A. (b) Find a basis for the null space Nul A. (c) Find a basis for the row space Row A. (d) Determine rank A. (e) Determine the dimension of Nul A. (f) Determine whether Col A = R3

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