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5. What is the matrix necessary to perform the following 2D transformation? a. White the operation needed to transform the house on the right on
5. What is the matrix necessary to perform the following 2D transformation? a. White the operation needed to transform the house on the right on the house on the left. using the usual p'=Mp. Use the notation R(degrees) for rotation. S(x,y) for scale and T(x,y) for translation. Show the order matrices are multiplied to create M. e.g. M=T(1,2)*r(90)*S(3,4). b. Now write down the actual matrix elements to build the 3x3 matrices you specified above. (It's fine to leave the map and sine, cosine, etc in your individual elements, but they should be sufficiently specified to evaluate to numbers if one has a calculator.) c. If one multiplies points against the matrix M you specified above. [2,0] [0,2]
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