Perform a x-direction shear transformation, Computer Graphics

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1. If you perform a x-direction shear transformation and then a y-direction shear transformation, will the result be the same as the one which is obtained when it is simultaneous shear in both the directions? Justify your answer by appropriate reasoning.

Answer:No, since an x-axis shear and then a y-axis shear will lead to following matrix.

2001_Perform a X-Direction Shear Transformation 1.png

while a simultaneous shear in both the directions will be represented by the following matrix.

709_Perform a X-Direction Shear Transformation.png

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