General Linear Transformations on Vector 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 general linear transformations on vector spaces. This is in contrast to matrix transformations which represented the class of linear transformations specifically on euclidean space. We'll go over the definition of a linear transformation, some basic properties of linear transformations, and several linear transformation examples and non-examples. #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 1:16 Definition of Linear Transformation 2:26 Linear Combinations 3:10 Basic Properties 4:01 Proofs of Basic Properties 6:23 Matrix Transformation 7:36 Zero Transformation 9:14 Dilation and Contraction 11:13 Inner Product Transformation 12:59 Matrix Transformation 14:18 sinx is not a Linear Transformation 15:06 Translation is not a Linear Transformation 16:37 Conclusion
Linear Transformations with Calculus | Linear Algebra
Gram-Schmidt Orthogonalization (Proof and Example) | Linear Algebra
Isomorphic Vector Spaces and Isomorphisms | Linear Algebra
Trigonometry, π, and e — Euler's Formula and a Deep Unity
Similar Linear Operators with Different Bases | Linear Algebra
Matrices for General Linear Transformations | Linear Algebra
One-to-One and Onto Linear Transformations | Linear Algebra
Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
Best Explanation of Gradient, Divergence and Curl
1. The Geometry of Linear Equations
The Professor Who Taught People How To Think (1962)
ASMR Best Triggers For Sleep Collection (No Talking) 3 Hours of Tapping & Scratching
Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
When Math Isn’t Based in Reality
The Matrix Transpose: Visual Intuition
Power Method for Dominant Eigenvalues and Eigenvectors | Linear Algebra
Train Your Brain to Never Forget (5 Feynman Habits)
Billionaire's WARNING: I'm SELLING. The Crash Is Already Here!
Inner Products and Inner Product Spaces | Linear Algebra
