Question: 3. 7 marks Consider the following matrix: -2 -4 8 A = 0 1 2 -11 1 2 5 4 (a) Find the reduced row

3. 7 marks Consider the following matrix: -2 -4 8 A = 0 1 2 -11 1 2 5 4 (a) Find the reduced row echelon form of A. Show all the elemen- tary row operations you use. (b) Use your answer to (a) to find a basis for the null space of A (i.e., N(A)). What is the nullity of A? (c) Use your answer to (a) to find a basis for the row space of A. What is the rank of A

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