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Consider the transformation T: R2 -> R3 defined by T(x,y) = (x-y,x+y,x+2y) Answer the Following a)Find...

Consider the transformation T: R2 -> R3 defined by

T(x,y) = (x-y,x+y,x+2y)

Answer the Following

a)Find the Standard Matrix A for the linear transformation

b)Find T([1

-2])

c) determine if c = [0 is in the range of the transformation T

2

3]

Please explain as much as possible this is a test question that I got no points on. Now studying for the final and trying to understand past test questions.

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