The points A(2,2), B(3,3) and C(4,1) are the vertices of a triangle. a) On the grid, draw and label triangle ABC
b) Calculate the matrix product

Triangle A'B'C' is the image of triangle ABC where A' B' C' are respectively the images of the points AB and C under the transformation with Matrix P
c) on the grid, draw and label triangle A'B'C'

Triangle A" B" C" is the image of triangle A'B'C' where A"B"C" are respectively the images of the points A'B'and C' under the transformation with Matrix Q
d) On the grid, draw and label triangle A"B"C"
e) describe fully the single transformation that maps triangle ABC onto triangle A"B"C"
f) Find the matrix that represents this transformation.