(a)
To Find: The coordinate matrix for
(a)
Answer to Problem 4.4.2EP
The required matrix is
Explanation of Solution
Given:
The vertices of the
Calculation:
Consider the given vertices is
The required matrix for the coordinates is,
(b)
To Find: The reflection matrix for reflecting over the line
(b)
Answer to Problem 4.4.2EP
The value of the reflection matrix is
Explanation of Solution
Consider the vertex matrix is,
The matrix after reflecting over
(c)
To Find: The coordinates of the reflected matrix.
(c)
Answer to Problem 4.4.2EP
The coordinates of the reflected matrix is
Explanation of Solution
Consider the reflected matrix is,
Then, the coordinates of the reflected matrix is
(d)
To Find: The coordinates of the vertical matrix.
(d)
Answer to Problem 4.4.2EP
The graph for the two figures is
Explanation of Solution
The required graph for the
Figure 1
(e)
To Find: The rotation matrix for rotating
(e)
Answer to Problem 4.4.2EP
The required matrix is
Explanation of Solution
The required matrix for the coordinates is,
The rotation matrix for rotating
(f)
To Find: The coordinates of the rotated matrix.
(f)
Answer to Problem 4.4.2EP
The coordinates of the rotated matrix is
Explanation of Solution
Consider the rotated matrix is,
Then, the coordinates of the rotated matrix is
(g)
To Find: The graph of the original and the rotated matrix.
(g)
Answer to Problem 4.4.2EP
The coordinates of the rotated matrix is
Explanation of Solution
The coordinates of the rotated figure is
The graph for the figure is shown in Figure 2
Figure 2
Chapter EP Solutions
Algebra 2
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