Hi,

I have a problem regarding linear transformations.

Consider the triangle in R^2 with vertices (1,1), (3,2) and (2,3). Find a linear transformation T:R^2 to R^2 which firstly doubles the vertical distance from the origin to each of the vertices, then rotates the triangle through an angle of 5pi/6 anticlockwise about the origin, and finally reflects it across the line y=x.

Thankyou in advance for any assistance provided.