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LetT:ℝ3→ℝ3be а lineаr trаnsfоrmatiоn such thatT(1,0,0)=(0,-1,2), T(0,1,0)=(3,1,4), and T(0,0,1)=(0,0,2).(a) Find the image оfv=(-2,4,1).(b) Write the standard matrix for T.(c) Is T invertible? Why or why not?