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Match $\text{List I}$ with $\text{List II}$. $\text{List I}$ gives $3 \times 3$ matrices representing $2D$ transformations and $\text{List II}$ shows the corresponding transformation diagrams.

Choose the correct answer from the options given below:

  1. $A-IV, B-II, C-III, D-I$
  2. $A-IV, B-III, C-II, D-I$
  3. $A-III, B-II, C-IV, D-I$
  4. $A-II, B-IV, C-III, D-I$
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  1. is scaling matrix      ( by factor of 2 each in x and y-direction) hence A-II 
  2. is translation matrix ( by vector  2 each in x and y-direction) hence   B-IV
  3. Rotation matrix by angle 60 degree hence C-III
  4. Shear matrix with only x-shear of quantity 2 hence D-I                                                                                  Hence option D is right ans 
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