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Inverse Linear Transformations | Linear Algebra

Wrath of Math 1,403 8 months ago
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We introduce inverse linear transformations, which are defined for linear transformations which are one-to-one. We'll prove that an inverse linear transformation is also a one to one linear transformation and see an example of finding the inverse of a linear transformation. #linearalgebra Join Wrath of Math to get exclusive videos, lecture notes, and more: https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join Linear Algebra course: https://www.youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc Get the textbook for this course! https://amzn.to/43xAWEz 0:00 Intro 0:21 Definition of Inverse Linear Transform 1:49 Picture and Properties 3:04 Inverse is One to One Linear Transformation 9:32 Examples of Inverse Transformation 12:40 Conclusion ★DONATE★ ◆ Support Wrath of Math on Patreon: https://www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Outro music by Ben Watts and is available for channel members. Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath

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