Lesson: Linear Transformations in Planes: Reflection

In this lesson, we will learn how to find the matrix of linear transformation of reflection along the x- or y-axis or the line of a given equation and the image of a vector under the reflection.

Sample Question Videos

01:08

Worksheet: 8 Questions • 1 Video

Q1:

Which of the following are necessary and sufficient conditions on , , , and for the matrix to represent a reflection?

Q2:

A reflection in a line through the origin sends the vector to . Find the matrix representation of this reflection.

Q3:

A reflection in a line through the origin sends the vector to . Find the matrix representation of this reflection.

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