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(Solved):   (1,4) (15 pts) Consider the function \( T(x, y)=(y-x, x+y, 2 x) \) a. Determine if the fun ...



(15 pts) Consider the function \( T(x, y)=(y-x, x+y, 2 x) \)
a. Determine if the function is a linear transformation. Support

 

(1,4)

(15 pts) Consider the function \( T(x, y)=(y-x, x+y, 2 x) \) a. Determine if the function is a linear transformation. Support your answer with the appropriate calculations. b. Fill in the blanks: \( T \) : c. Find the pre-image of \( (-11,-3,8) \) d. Find the image of \( (1,4,3) \)


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