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To find: the coordinate of the triangle using matrices and graph the pre image and image on same coordinate.
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Answer to Problem 20E
Explanation of Solution
Given:
The rectangle with vertices:
Concept used:
The image of linear transformation or matrix is the span of the
It can be written as
For example, consider the matrix
Multiplying this by
Result is not image of
Matrices multiplication:
Calculation:
The rectangle with vertices:
First write the vertex matrix as:
Reflected over the
Multiply by the
Graph of the two rectangles is:
Hence, the vertices of the image are
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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