1. (10 points) Let ei = (1,0), e2 = (0,1), yı = (2,5), and y2 = (-1,6). Let T:R2 + R2 be a linear transformation that maps e into yı and maps
e2 into y2. Find the image of (5, -3) under T. Is T onto? one-to-one?
Justify your answer.

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement in