Consider the matrix 1 -1 3 0 3 0 01 7 4 2 14 1. Find the reduced echelon form for the matrix A. A = 1 -1 2 1 2 5 0 6 2. Find a basis for N(A) (the null space of A) and the dimension of N(A). 3. Find the dimension of the column space of A and the dimension of the row space of A. 4. Give a reason why the dimension of the row space equals to the dimension of the column space.

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