Question: CO 11 44 -3 9 9 36 You are given that the reduced row echelon form of the matrix A = 4 12 20 2

CO 11 44 -3 9 9 36 You are given that the reduced row echelon form of the matrix A = 4 12 20 2 6 -7 28 3 0 0 0 0 1 4 is . Given this information: 0 0 0 OOH O O O (a) (2 marks) Verify the rank-nullity theorem holds in this case. (b) (1 mark) Find a basis for the column space of A. (c) (3 marks) Find a basis for the null space of A. 3 4 3 -9 12 6 (d) (1 mark) Simplify the expression: span 11 9 5 -7 44 36 20 28

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