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## Homework Statement

Assume that T defines a linear transformation and use the given information to find the matrix of T

T: R

^{4}-->R

^{2}

such that T(1,0,0,0)=(3,-2), T(1,1,0,0)=(5,1), T(1,1,1,0)=(-1,0), and T(1,1,1,1)=(2,2)

## Homework Equations

## The Attempt at a Solution

I think I need to use/find the standard basis for R

^{4}, but not really sure.

Thanks for the help.