Question: Please help me with this problem, thank you so much!!! 2 3 4 Question 11. Let A = 1 1 0 2 2 0 2

Please help me with this problem, thank you so much!!!

2 3 4 Question 11. Let A = 1 1 0 2 2 0 2 (1) Calculation rref(A) over R by hand. Solve Ax = 0 and write all solutions in parametric vector forms. (2) Calculation rref(A) over field Z7 by hand. (3) Using Python verify your result and calculation rref(A) over field Z2 and Z3. (Python suggestion is uploaded on Canvas.) (4) Is it possible that a matrix M has different rank over different fields Zp? (By calculation in (3))

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