6. 1 2 1 0 1 2 5 1 Let A = 3 7 2 2 (4 9 3 -1 0 0 - 2 4 (a) Find the rank and nullity of A. (6 marks) (4 marks) (b) Find
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6. 1 2 1 0 1 2 5 1 Let A = 3 7 2 2 (4 9 3 -1 0 0 - 2 4 (a) Find the rank and nullity of A. (6 marks) (4 marks) (b) Find
6. 1 2 1 0 1 2 5 1 Let A = 3 7 2 2 (4 9 3 -1 0 0 - 2 4 (a) Find the rank and nullity of A. (6 marks) (4 marks) (b) Find a basis for the null space of A. (c) Find a basis for the row space of A. (d) Find a basis for the column space of A. (e) Determine whether the rows of A are linearly independent. (2 marks) (2 marks) (1 mark) 7. Given the system of differential equations:
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