- #1
Spraypaint
- 8
- 0
Homework Statement
Let L: R^3 -> R^3 be a linear operator. Given that L(1,1,-1)^T = (2,3,4)^T, L(1,-1,1)^T = (1,5,1)^T, and L(-1,1,1)^T = (2,0,0)^T, Compute L(1,2,3)^T. Justify your answer.
Homework Equations
None.
The Attempt at a Solution
I honestly do not really have a clue. I have an understanding on linear transformations and how they must satisfy the addition and scalar multiplication, but I don't know how to go about doing this question.