Question: Consider the following matrix A and its reduced row-echelon form: -2 2 4 -2 -2 0 1 0 0 -1 -3 3 -1 1

Consider the following matrix A and its reduced row-echelon form: -2 2 

Consider the following matrix A and its reduced row-echelon form: -2 2 4 -2 -2 0 1 0 0 -1 -3 3 -1 1 3 A = 0 10 2 -2 -3 3 -2 3 rref(A) = 0 0 2 -4 -2 6 0 0 1 2 -1 3 0 1 2 -2 -4 3 0 0 0 0 0 0 Find the dimensions of row(A), null(A), and im(A), and give a basis for each of them. Dimension of row(A): 1 Basis for row(A): 0 Dimension of null(A): 1 Basis for null(A): 0 0. Dimension of im(A): 1 Basis for im(A): {0

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