The triangle ABC has vertices A (1, 2), B (2, 1) and C (2, 3). AI BI CI is the image of ABC under transformation given by the matrix

- What are the coordinates of A
^{I }B^{I} C^{I }? Plot ABC and A^{I} B^{I} C^{I} on the same axis - State the ratio of the areas of the two triangles and use the area of ABC to calculate the area of A
^{II} B^{II} C^{II } - If A
^{II} B^{II} C^{II } is the image of ABC under transformation given by the matrix . Find the coordinates of A^{II} B^{II} C^{II}. Plot A^{II} B^{II }C^{II} and describe the transformation fully.