Consider the following matrix A and its reduced row-echelon form: -2 10 6 -1 -12 -6 1 -5 0 0 2 0 1 -5 -3 -1 3 3 0 0 1 0
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Consider the following matrix A and its reduced row-echelon form: -2 10 6 -1 -12 -6 1 -5 0 0 2 0 1 -5 -3 -1 3 3 0 0 1 0
Consider the following matrix A and its reduced row-echelon form: -2 10 6 -1 -12 -6 1 -5 0 0 2 0 1 -5 -3 -1 3 3 0 0 1 0 -1 -1 A= = rref(A) 1 -5 -3 2 - 9 3 0 0 0 1 2 0 -1 5 4 0 -6 -4 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 0 Basis for row(A): | 0 (A) 0 Dimension of null(A): 1 0 Basis for null(A): | 0 0 Dimension of im(A): 1 0 Basis for im(A): 0 : 0
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