Let T₁(x,y) = (x - 2y, x+y) and T₂(x,y) = (x − y, 3x+y) be linear transformations from R² to R2. Find the transformations which is the composition of T₂ with T₁ (i.e. T₂ T₁).

4. Describe the transformations of y=-2f[3(x– 4)]–5.

2 [1], 0₂ = [1] · ₁ = [3], and y₂ = [¯ ] - 5 6 R² be a linear transformation that maps e₁ into y₁ and 19. Let e₁ = T: R² maps e2 into y2. Find the images of [3] -3 and [2]. x2 and let

Here are some transformation rules. For each rule, describe whether the transformation is a rigid motion, a dilation, or neither. а. (х, у) — (2х, у+2) b. (х, у) — (2х, 2у) c. (x, y) → (x + 2, y + 2) d. (x, у) — (х — 2, у) Match the rule on the left with its correct description on the right.