
Lecture Description
How do you translate back and forth between coordinate systems that use different basis vectors?
Watch the full "Essence of linear algebra" playlist here: www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
Course Index
- Essence of linear algebra preview
- Vectors, what even are they?
- Linear combinations, span, and basis vectors
- Linear transformations and matrices
- Matrix multiplication as composition
- Three-dimensional linear transformations
- The determinant
- Inverse matrices, column space and null space
- Nonsquare matrices as transformations between dimensions
- Dot products and duality
- Cross products
- Cross products in the light of linear transformations
- Change of basis
- Eigenvectors and eigenvalues
- Abstract vector spaces
Course Description
This introduces the "Essence of Linear Algebra" series, aimed at animating the geometric intuitions underlying many of the topics taught in a standard linear algebra course.
This course is perfect for any high school student interested in exploring the world of Linear Algebra, which any math and engineering student will face in their college years. Furthermore, this course is perfect for any university and adult learner who wants an intuitive, original, and entertaining explanation of simple and complex Linear Algebra concepts.