2 (33) Transformation T is a translation Transformation P is a reflection in the straight line y = 1 Transformation R is a clockwise rotation of 90° about the centre of (2, 2) State the coordinate of the image of point (2, 4) under the following transformations: (i) T, (ii) P, (iii) R.

-------- and maps v = The image of 4u is 2 Let T: R² →R² be a linear transformation that maps u = fact that T is linear to find the images under T of 4u, 2v, and 4u + 2v. 4 4 into 2 2 into 1 Use the

-2 -2 -5 A = -5 6. -2 and b = 15 6 -50 Define the linear transformation T : R → R by T(a) = A. Find a vector a whose image under T is b. Is the vector unique? unique 18

Topic is Linear Transformation: Instruction: Provide the image for v and the pre-image for u of the given linear transformation: a. T: R2 -> R2, T(v1 ,v2) = (v1 , v1 + 2v2) , where v = (2,3), u = (4,12) b. T: R3 -> R3,  T(v1 , v2 , v3 ) = (0 , v1 + v2 , v2 + v3) , v = (-3,2,5) , u = (0,2,5)