Lesson: Matrix of a Linear Transformation

In this lesson, we will learn about the linear transformation such as reflections, rotations, translations, and dilations, and we will learn how to find the matrix of this transformation and how to describe it geometrically.

Worksheet: Matrix of a Linear Transformation • 17 Questions

Q1:

Consider the linear transformation which maps to and to .

Find the matrix which represents this transformation.

Where does this transformation map and ?

Q2:

Suppose the linear transformation sends to and to . What is the absolute value of the determinant of the matrix representing ?

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