Topic is Linear Transformation: Instruction: Provide the image for x and the pre-image for y of the given linear transformation: a. T: R 2 -> R 2, T(x 1 ,x 2 ) = (x 1 , x 1 + 2x 2 ) , where x = (2,3),...

Topic is Linear Transformation:

Instruction: Provide the image for x and the pre-image for y of the given linear transformation:

a. T: R₂-> R_2,
T(x₁
,x₂) = (x₁, x₁
+ 2x₂) , where x = (2,3), y = (4,12)

b. T: R₃ -> R_3,
T(x₁
, x₂
, x₃) = (0 , x₁
+ x₂
, x₂+ x₃) , x = (-3,2,5) , y = (0,2,5)