- #1

hemsley

- 2

- 0

## Homework Statement

Let T:R^4->R^3 be the linear transformation de fined by

T( x1, x2,x3,x4) =

2(x1) - 4(x3)

(x2) -(x3)+3(x4)

(x1)+(x2)-3(x3)+2(x4)

Find the vector from the domain, Xd, which gives the image Xr = (2 1 1) in the range of T

## The Attempt at a Solution

I don't need to necessarily know the values, I just need to know the process to get the 3 space matrix to find a vector in 4 space. To go from the Vector in Xd to the image Xr, I would just need to use the numbers in the matrix transform, or just multiply the standard matrix with the vector, but I am not sure how to go the other way. Do I take the inverse of the standard matrix multiply it by Xr possibly? Please help!