Collaboration Policy: CP-1
Due: Class period on 24 Sep.
Name:
Homework 3: More Fun with Linear Transforms
In this homework you will practice creating and analyzing transform matrices. Each student should solve
these problems solo, with no help from other students. You should do all work by hand -- no calculating
devices of any kind other than a pencil or pen. You may use the course “RST Transform” handouts as
reference.
Create matrices that can perform the requested transforms:
1. Rotate by 3π/4 counter-clockwise.
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2. Rotate π/2 clockwise.
3. Translate +12 units along the x-axis,
then rotate 90 degrees counterclockwise.
4. Rotate 30 degrees counter-clockwise,
translate +10 units along the x-axis,
then rotate 30 degrees clockwise.
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Explain each of the following transforms in plain English. Use the descriptions in 1-4 above as a guide.
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8.
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Collaboration Policy: CP-1
Due: Class period on 24 Sep.
Name:
Plot the effects of the transforms on the shapes below.
9.
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10.
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11.
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12.
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Create inverse matrices for each of the following:
13.
A=[
], A-1=[
14.
]
15.
A=[
], A-1=[
]
A=[
], A-1=[
]
A=[
], A-1=[
16.
], A-1=[
A=[
]
17.
18.
A=[
], A-1=[
]
]