Question: Solve the question below: 3. (a) A triangle with vertices at (0,0), (2,0) and (0,1) is transformed into a new shape by the matrix T

Solve the question below:

3. (a) A triangle with vertices at (0,0), (2,0) and (0,1) is transformed into a new shape by the matrix T = 2. Determine the new coordinates of the vertices and hence plot the new shape using the gridlines below. Include axes on your plot. [6 marks] (b) What is the area of the new shape? [2 marks] (c) After performing the transformation T, the resulting shape is to be reflected in the x axis and then translated for 2 in x and 3 units in y. Find the matrix that will perform all these transformations in one operation. [2 marks]

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