Given that the matrices A and B are row equivalent (we obtained matrix B from matrix A via Gaussian elimination), and 3 -3 9 1 -1 3 A=-1 1 -3 - and B=0 -3 3 0 0 1 5 00 (a) Find a basis for the row space of A. (b) Find a basis for the column space of A. (c) What is the rank of A? Explain your answer. (d) What is the dimension of the nullspace of A (the nullity of A)? Explain your answer.

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