Question: (8 points) Given the linear map T: R 9 R, a) Give the standard matrix of T. b) Determine whether T is one-to-one. c)

(8 points) Given the linear map T: R 9 R, a) Give

(8 points) Given the linear map T: R 9 R, a) Give the standard matrix of T. b) Determine whether T is one-to-one. c) Is the vector X1 [Q]- X2 in the image of T? If so, find d) Is the vector 4 in the image of T? If so, find 9 x1 - 2x2 -x1 + 3x 3x1 - 2x2 X1 X2 A such that T T- X1 21 ([2) such that T( = = B 4 9 9

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