The gray square in Table
Apply each of the three transformations given in Table
To verify:
The three transformations of the gray square have indicated effect.
Answer to Problem 1P
Solution:
It is verified that each transformation has the indicated effect.
Explanation of Solution
Given:
The vertices of the gray square are:
Approach:
Multiplication of Matrices:
If
Transformation matrix:
Calculation:
The data matrix is given by
Plot the points on the graph and connect them by a line segment.
Figure
Multiply the
The following matrix is obtained
Obtain the resulting graph by plotting the points and joining them by a line.
Figure
Substitute
The following matrix is obtained
Obtain the resulting graph by plotting the points and joining them by a line.
Figure
Substitute
The following matrix is obtained
Obtain the resulting graph by plotting the points and joining them by a line.
Figure
Conclusion:
Hence, it is verified that each transformation has the indicated effect.
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Chapter 11 Solutions
Algebra and Trigonometry (MindTap Course List)
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