Given the transformation ????k 0
k 1
???? with k > 0:
a. Perform this transformation on the vertices of the unit square. Sketch the image, and label the vertices.
b. Calculate the area of the image using the dimensions of the image paralelogram.
c. Confirm the area of the image using the determinant.
d. Perform the transformation on ????
xy
????.
e. In order for two matrices to be equivalent, each of the coresponding elements must be equivalent. Given
that, if the image of this transformation is ????54
????, find ????
xy
????.