Let L R2 rightarrow R2 be a linear transformation If Ll 2t

Let L: R^2 rightarrow R^2 be a linear transformation. If L((l, 2)t) = (2,3) then L((-3,-6)T) =

Solution

Given L is a linear transformation.

and also L((1,2)^T)=(2,3)^T

Finding L((-3,-6)^T):

By observtng given linear transformation,it is clear that a number is transformed into next number.

Similarly,for -3 the next number is -2 and

for -6 the next number is -5

Therefore,L((-3,-6)^T):=(-2,-5)^T