# Activities

• ##### Download

• • ##### Subject Area

• Math: Precalculus: Other Topics: Matrices, Sequences, and Series

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

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Linear Transformations

#### Activity Overview

This lesson involves linear transformations from R2 to R2 represented by matrices. Note: R2 = R x R represents the set of all pairs of real numbers.

#### Objectives

• Students will use matrices to help visualize and describe linear transformations.
• Students will manipulate the input vector and observe the results of specific linear transformations geometrically.
• Students will generate output vectors.
• Students will characterize linear transformations in terms of vector magnitude and angles.

#### Vocabulary

• linear transformation
• transformation matrix
• reflection
• rotation
• scaling
• projection

#### About the Lesson

This lesson involves linear transformations from R2 to R2 represented by matrices. Note: R2 = R x R represents the set of all pairs of real numbers.
As a result, students will:

• Grab and drag the input vector and observe the effect of each linear transformation.
• Describe each linear transformation in words.
• Compute output vectors in order to confirm conjectures.
• Determine general properties of certain linear transformations.