(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let T:R^4->R^3 be the linear transformation defined 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

3. The attempt at a solution

I dont 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 Im not sure how to go the other way. Do I take the inverse of the standard matrix multiply it by Xr possibly? Please help!

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# Homework Help: Linear Algebra Question, Vector Images

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