Youtor
Angles and Orthogonality in Inner Product Spaces Linear Algebra
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=lKeYpwQER-M
We introduce the definition of the angle between two vectors in an inner product space. We'll also see what it means for two vectors to be orthogonal in an inner product space and see examples of orthogonal and not orthogonal vectors in various inner product spaces. #linearalgebra • Inner Product Spaces: • Inner Products and Inner Product Spac... • Linear Algebra course: • Linear Algebra • Linear Algebra exercises: • Linear Algebra Exercises • Join Wrath of Math to get exclusive videos, music, and more: • / @wrathofmath • 0:00 Intro • 0:31 Cauchy-Schwartz Inequality in Inner Product Spaces • 2:25 Definition of Angle Between Vectors • 2:50 Orthogonality in Inner Product Spaces • 3:19 Example in P2 • 5:42 Orthogonality depends on Inner Product • 7:54 Conclusion • ◉Textbooks I Like◉ • Graph Theory: https://amzn.to/3JHQtZj • Real Analysis: https://amzn.to/3CMdgjI • Abstract Algebra: https://amzn.to/3IjoZaO • Linear Algebra: https://amzn.to/43xAWEz • Calculus: https://amzn.to/3PieD1M • Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) • Statistics: https://amzn.to/3tsaEER • Discrete Math: https://amzn.to/3qfhoUn • Number Theory: https://amzn.to/3JqpOQd • ★DONATE★ • ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons • ◆ Donate on PayPal: https://www.paypal.me/wrathofmath • Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon! • Outro music is mine. You cannot find it anywhere, for now. • Follow Wrath of Math on... • ● Instagram: / wrathofmathedu • ● Facebook: / wrathofmath • ● Twitter: / wrathofmathedu • My Math Rap channel: / @mathbars2020
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