- #1

says

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## Homework Statement

Let A(l) =

[ 1 1 1 ]

[ 1 -1 2]

be the matrix associated to a linear transformation l:R3 to R2 with respect to the standard basis of R3 and R2. Find the matrix associated to the given transformation with respect to hte bases B,C, where

B = {(1,0,0) (0,1,0) , (0,1,1) }

C = {(1,1) , (1,-1)}

## Homework Equations

T(x) = Ax

L(x,y,z) = (ax+by+cz, dx+ey+fz)

## The Attempt at a Solution

I don't full understand what this question is asking. The matrix A(l) is the matrix A in the equation, T(x) = Ax, no? Then I'm supposed to matrix multiply A by the standard basis in R3 and R2? ie:

[ 1 0 0 ]

[ 0 1 0] * A

[ 0 0 1]

I don't think this is correct because I can't do this for R2 because that's a 2x2 matrix and the matrix A is a 2x3 matrix.