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

Concept:

Scaling:

In this, the size of an object is increased or decreased by changing the dimension. Representation of the scaling matrix is:

Translation:

It moves an object from its original position to a new position by adding a translation factor with the original coordinates. It does not change the size. Translation matrix is represented as :

Explanation:

Given scalar matrix

Translation matrix will be:

If we do, first translation of (1,1), then scaling of a vector (2,1), then we get the original matrix. So, multiply scalar matrix with translation matrix of the specified vector and finally, we get the matrix M.