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Asked: 2026-06-05T04:47:38+00:00

I was doing some questions on matrix transformations and texture mapping and I came

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I was doing some questions on matrix transformations and texture mapping and I came across two questions for which I dont know how to get the answer. The answer is highlighted with red colour.
(These can be implemented in C++ but before I do it I just wanted to familiarize myself with transformations first)

For matrix transformation shouldnt it have -1 (top right of the matrix) for the translation instead of 0
enter image description here

EDIT: STILL NEED AN ANSWER TO THE SECOND QUESTION
My second query is that I am not sure how they got the y coordinate for point D

enter image description here

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1 Answer

  1. Editorial Team

    Answering the first question:

    The resultant image is compressed into half along the x-axis and elongated to twice the length across Y-axis.

    Scaling Matrix is what will be the answer. Scaling matrix is a diagonal matrix with elements {X-scaling, Y-scaling, 1}.

    Now,

    | 0.5 0 0 |
|  0  2 0 |
|  0  0 1 |

    is a typical scaling matrix. It scales the x-axis by 0.5 (that is it stretches(compresses) the x-axis into half). This is noticeable in Matrix(1,1).

    THe scaling across Y-direction is given in Matrix(2,2). The 2 over there implies, the Y-axis is elongated 2 times.

    NOTE:
    In this question there is no translation involved. Notice that simple scaling makes it seem like translation.

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