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## Homework Statement

We have a linear transformation: T(x,y)=(x-2y,y,3x+4y). Determine whether T is invertible.## Homework Equations

## The Attempt at a Solution

the basis of the image is (1,0,3) and (-2,1,4). I really have no clue how to proceed from here. I mean i can't even write (1,0) and (0,1) as an linear combination of the image vectors since they don't have the same dimension.