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A parallelogram whose vertices are A (1, 0), B (3, 0), C (4, 2) and D (2, 2) is mapped onto a parallelogram A’B’C’D’ by a transformation whose matrix is M. Under the transformation, the images of A and C are
A’ (0, 1) and C’ (-2, 4) respectively.
i. Find the matrix M
ii. Plot the parallelogram ABCD and its image on the given grid.
iii. A’B’C’D’ is mapped onto ABCD by a transformation T.
Obtain the matrix for T.