To find: the coordinate of the rotated triangle using matrices and graph the pre image and image on same coordinate.
Answer to Problem 22E
The vertices of the image are
Explanation of Solution
Given:
Triangle
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:
Triangle
First write the vertex matrix as:
Counter clockwise
Then multiply it by vertex matrix:
The graph of the two triangles is:
Hence, the vertices of the image are
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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