Question 15 [10 points] Consider the following matrix A and its reduced row-echelon form: 1 -2...

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Question 15 [10 points] Consider the following matrix A and its reduced row-echelon form: 1 -2 3 -1 5 9. 1 0 0 -1 5 -2 |-1 0 -1 1 -3 -1 A = 0 10 0 -3 -1 rref(A) = 2 -2 4 -2 8 10 0 0 1 0 -2 3 -2 1 -2 2 -9 -3 0 0 0 0 Find the dimensions of row(A), null(A), and col(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 Dimension of col(A): 1 Basis for col(A): 0 Question 15 [10 points] Consider the following matrix A and its reduced row-echelon form: 1 -2 3 -1 5 9. 1 0 0 -1 5 -2 |-1 0 -1 1 -3 -1 A = 0 10 0 -3 -1 rref(A) = 2 -2 4 -2 8 10 0 0 1 0 -2 3 -2 1 -2 2 -9 -3 0 0 0 0 Find the dimensions of row(A), null(A), and col(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 Dimension of col(A): 1 Basis for col(A): 0