Concept explainers
To find: the coordinate of the triangle using scalar multiplication and graph the pre image and image on same coordinate.
Answer to Problem 12E
Explanation of Solution
Given:
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 with the vertices:
First write the coordinate of the vertices as a matrix.
Then do scalar multiplication using the scale factor
The vertices of the image are
Hence,
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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