Which of the following transformations can be represented by a scaling matrix?Question 33Select one or more:a.Translationb.Shearingc.Rotationd.Reflectione.Scaling
Question
Which of the following transformations can be represented by a scaling matrix?Question 33Select one or more:a.Translationb.Shearingc.Rotationd.Reflectione.Scaling
Solution
The transformation that can be represented by a scaling matrix is:
e. Scaling
Here's why:
a. Translation - This involves moving a shape from one place to another without changing its size or orientation. This cannot be represented by a scaling matrix.
b. Shearing - This involves distorting a shape such that it becomes slanted. This cannot be represented by a scaling matrix.
c. Rotation - This involves turning a shape around a fixed point. This cannot be represented by a scaling matrix.
d. Reflection - This involves flipping a shape over a line so it appears as a mirror image. This cannot be represented by a scaling matrix.
e. Scaling - This involves changing the size of a shape. This can be represented by a scaling matrix. In a scaling matrix, the numbers on the main diagonal are the scale factors. If they are greater than 1, the shape increases in size. If they are less than 1 but greater than 0, the shape decreases in size. If they are negative, the shape also reflects.
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