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## Homework Statement

For problems 1 and 2 use [PLAIN]http://T: [Broken] R^3 to R^3, T(<x1,x2,x3>) = <2x1-x2, x2+3x3, x1 - x2+2x3>,[/PLAIN] , T: R^3 to R^3, T(<x1,x2,x3>) = <2x1-x2, x2+3x3, x1 - x2+2x3>, , bases B = { <1,0,1>, <1,1,0>, <0,1,1> } and B' = { <1,1,-2>, <2,1,-1>, <3,1,1> }. Find T ( <3,-1,2> ) by using

The matrix relative to B and B'

## Homework Equations

How do i correctly use the c1w1+c2w2+c3w3 ..

## The Attempt at a Solution

I've looked in the book and other places online and everyone seems to be doing a 2x2 which is straighforward and makes more sense. I am sort of lost with trying to do this one. I know there must be a T(v1) T(v2) and T(v3) but where is v1, v2 and v3 coming from? Any guidance or help with starting the problem would be great. I know that once I get those v1 v2 v3 they become the columns of the matrix..

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