To find: the coordinate of the trapezoid using matrices and graph the pre image and image on same coordinate.
Answer to Problem 21E
Explanation of Solution
Given:
A trapezoid with vertex:
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:
A trapezoid with vertex:
First write the vertex matrix as:
Reflected over the
Multiply by the
Graph of the two trapezoids is:
Hence, the vertices of the image are
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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