UGC NET CS 2018 July – II Question 10

Question 10

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10. Consider the matrix  M=

2	0	0
0	1	0
0	1	1

representing a set of planar (2D) geometric transformations in homogeneous coordinates. Which of the following statements about the matrix M is True ?

1. (1) M represents first, a scaling of vector (2, 1) followed by
   translation of vector (1, 1)
2. (2) M represents first, a translation of vector (1, 1) followed by
   scaling of vector (2, 1)
3. (3) M represents first, a scaling of vector (3, 1) followed by
   shearing of parameters (−1, 1)
4. (4) M represents first, a shearing of parameters (−1, 1) followed by
   scaling of vector (3, 1)

Answer: (2) M represents first, a translation of vector (1, 1) followed by scaling of vector (2, 1)

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