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Let T be the linear transformation whose standard matrix is given. Decide whether T maps R onto R. Justify your answer. 2 -7 3 -22
Let T be the linear transformation whose standard matrix is given. Decide whether T maps R onto R. Justify your answer. 2 -7 3 -22 5 6 11 -66 12 A = - 4 8 - 14 50 2 6 - 17 19 - 84 - 3 4 -20 -4 - 32 19 Choose the correct answer below. O A. T maps R onto RS because the reduced echelon form of A has a pivot position in every column. O B. T does not map R onto R3 because the reduced echelon form of A does not have a pivot position in every row. O C. T maps R's onto RS because the equation Ax = 0 has free variables. O D. T does not map R onto R because one of the columns of A is a linear combination of the other columns
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