Example Using Orthogonal Change-of-Basis Matrix to Find Transformation Matrix - Khan Academy

Explore a 27-minute video tutorial demonstrating how to use an orthogonal change-of-basis matrix to find a transformation matrix. Delve into advanced linear algebra concepts, including matrices, vector spaces, and transformations. Learn how to apply these techniques to solve complex mathematical problems and gain a deeper understanding of multi-dimensional representations. Discover the connections between speed and velocity, and visualize concepts in four or more dimensions. Ideal for science and engineering majors with a strong foundation in calculus, this Khan Academy lesson offers free, in-depth instruction on a crucial topic in linear algebra.