Question: 1 50 2 10 9. You are given that the reduced row echelon form of the matrix A = 15 1 6 6 30 2

1 50 2 10 9. You are given that the reduced row echelon form of the matrix A = 15 1 6 6 30 2 12 1 1 5 0 20 0 010 0 is Given this information: 0 0 0 01 0 0 0 0 0 (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. 2 10 15 30 (d) (1 mark) Simplify the expression: span 2 ONOUT HOT 12 1

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