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Inverse Linear Transformations | Linear Algebra

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:    / @wrathofmath   Linear Algebra course:    • Linear Algebra   Linear Algebra exercises:    • Linear Algebra Exercises   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:   / 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:   / wrathofmathedu   ● TikTok:   / wrathofmathedu   ● X: https://x.com/wrathofmathedu ● Facebook:   / wrathofmath