I have A=((1,2),(2,2),(2,1)) I have found that range(A)={((1),(2),(2)),((2),(2),(1))} and that null(A^T)={((1),(-3/2),(1))} I have been asked to state the rank and nullity theorem for A and A^T. I know the rank and nullity theorem as rank(A) + nullity(A) = n where A is an mxn matrix. I know that nullity(A) is the number of vectors present in the null space of matrix A, but I'm not too sure how to go on from there. Can someone help?

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