Lesson: Linear Transformation Definition Mathematics • 10th Grade
In this lesson, we will learn how to define a linear transformation and state whether a given transformation is linear.
Consider the linear transformations for which , the image of , and , the image of , are unit vectors. Let be a linear transformation of this kind which has the additional property that the area of the parallelogram with vertices , , , and is as big as possible. What are the possible values of the measure of the angle between and for the transformation ?