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Let 7: RS - R' be a linear transformation such that 7(1, 0, 0) = (4, -1, 2), 7(0, 1, 0) = (3, -2, 1), and 7(0, 0, 1) = (-2, 2, 0). Find the indicated image. 7(1, -3, 0) T(1, -3, 0) = Need Help? Read It /3 Points] DETAILS LARLINALG8 6.1.048. MY NOTES ASK YOUR For the linear transformation 7: R2 - R2 given by A = : -5 find a and b such that 7(3, 4) = (5, 0). (a, b) = Need Help? Read It Watch It [0/2 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 6.1.034. MY NOTES ASK YOUR Define the linear transformation 7: R7 - RM by 7(v) = Av. Find the dimensions of R" and Rim. A 4 N dimension of R7 4 X dimension of Rim Need Help? Read ItLet 1":R3 : R3 be the linear transformation that projects u onto 5* = {3, 1, l). {a} Find the rank and nullityr of T. rank Ear numw Ex [b] Find a basis for the kernel of T. [- E]- [- E -]"