T [] Let T: R R be a linear map such that 1 = 2 and...

Transcribed Image Text:

T [] Let T: R R be a linear map such that 1 = 2 and T 3 1 = 1 2 0 a) (3 pts) Compute T [3] without finding the matrix A, where Tx = . Ax. b) (3 pts) Determine the matrix A such that Tx = Ax, for all R. c) (2 pts) Write the linear map T of x and y. x in terms For full (or any) credit, show all of your work. . You may use Matlab to find the rref of any matrix you want. If you do, include screenshots of the commands and output, and explain how you use the output in answer. your You may not use Matlab for anything else. T [] Let T: R R be a linear map such that 1 = 2 and T 3 1 = 1 2 0 a) (3 pts) Compute T [3] without finding the matrix A, where Tx = . Ax. b) (3 pts) Determine the matrix A such that Tx = Ax, for all R. c) (2 pts) Write the linear map T of x and y. x in terms For full (or any) credit, show all of your work. . You may use Matlab to find the rref of any matrix you want. If you do, include screenshots of the commands and output, and explain how you use the output in answer. your You may not use Matlab for anything else.