If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Main content

Precalculus (2018 edition)

Course: Precalculus (2018 edition) > Unit 4

Lesson 10: Matrices as transformations

© 2023 Khan AcademyTerms of use Privacy Policy Cookie Notice

Understand matrices as transformations of the plane

CCSS.Math: HSN.VM.C.12

Google Classroom

Consider this matrix transformation:

\left[\begin{array}{c} 3 & 0 \\\\ 0 & 3 \end{array}\right]

What is the geometric effect of this transformation?

(Choice A)
A dilation about the origin by 3
(Choice B)
A dilation about the origin by start fraction, 1, divided by, 3, end fraction
(Choice C)
A horizontal stretch about the y-axis by 3
(Choice D)
A vertical stretch about the x-axis by start fraction, 1, divided by, 3, end fraction

Stuck?

Stuck?