Homework SourseLet L R2 rightarrow R2 be a linear transformation If L1 2T
Let L: R^2 rightarrow R^2 be a linear transformation. If L((1, 2)^T) = (2,3)^T, then L((-3,-6)^T) =![Let L: R^2 rightarrow R^2 be a linear transformation. If L((1, 2)^T) = (2,3)^T, then L((-3,-6)^T) =Solution L ((-3,-6)T) = L [-3(1,2)]T = -3 L((1,2)T)= -3 (2,3](/WebImages/26/let-l-r2-rightarrow-r2-be-a-linear-transformation-if-l1-2t-1069487-1761559990-0.webp "Let L: R^2 rightarrow R^2 be a linear transformation. If L((1, 2)^T) = (2,3)^T, then L((-3,-6)^T) =Solution L ((-3,-6)T) = L [-3(1,2)]T = -3 L((1,2)T)= -3 (2,3")
Solution
L ((-3,-6)T) = L [-3(1,2)]T = -3 L((1,2)T)= -3 (2,3)T = (-6,-9)T
Therefore,
L((-3,-6)T) = (-6,-9)T
