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- Homework Statement
- Describe explicitly a linear transformation from R3 into R3 which has as its

range the subspace spanned by (1, 0, -1) and (1, 2, 2).

- Relevant Equations
- linear transformation

"There is a linear transformation T from R3 to R3 such that T (1, 0, 0) = (1,0,−1), T(0,1,0) = (1,0,−1) and T(0,0,1) = (1,2,2)" - why is this the case?

Thank you.

Thank you.