following questions:

Find the general solution of the system whose augmented matrix is given below. 5 -2 60 15 -6 18 0 10 - 4 12 0 Choose the correct answer below. O A. OB. O C. OD. X1 = -5X2 2 6 x1 = 5 The system has no solutions. X1 5X2 - 5X3 X2 = 2x3 X2 = - 2 X2 is free X3 is free X3 = 6 X3 is freeDetermine if b is a linear combination of a1, a2, and a3. 2 , b= 3 36 15 Choose the correct answer below. O A. Vector b is a linear combination of a,, a2, and a3. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column. O B. Vector b is not a linear combination of a,, a2, and a3- O C. Vector b is a linear combination of a,, a2, and a3. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the fourth column. O D. Vector b is a linear combination of a1, a2, and a3. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column.X2 Let T: R2 -R' be the linear transformation such that T(e, ) and T ( e2) T(e2) are the vectors shown in the figure. Using the figure, sketch the vector T(2, 1). T ( @ 1 ) X1 OD. Choose the correct graph below. O C. X2 O B. O A. X2 T(2,1) T(2, 1) / T ( e2) X2 T(2, 1) T(2,1) /T (@2) V T ( e2) x 1 (T (@2) F(et