Isomorphic Inner Product Spaces | Linear Algebra

🛍 Check out the coolest math clothes in the world! https://mathshion.com/ Linear Algebra course:    • Linear Algebra   Linear Algebra exercises:    • Linear Algebra Exercises   📚 Get the textbook for this course! https://amzn.to/45KYgmA Business Inquiries: [email protected] We introduce isomorphic inner product spaces and isomorphisms between inner product spaces. We'll see the definition, and several examples and theorems concerning isomorphic inner product spaces. #linearalgebra ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● TikTok:   / wrathofmathedu   ● X: https://x.com/wrathofmathedu 0:00 Intro 0:59 Definition 2:44 R^n is the Ultimate Lifeform 3:05 Isomorphisms to R^n 4:13 Example of Isomorphic Inner Product Spaces 6:19 Matrix Space Isomorphic to R^n 8:23 Inner Products Preserved 9:09 Conclusion