Basis

A video explaining the concept of basis and change of basis.

0:00 Definition of a basis
2:06 Change of basis

[jonpritzker]

At 6:00, you find the new coordinates wrt the new basis W, but you drop a minus sign on the 3 of the vector you’re changing. Suddenly, you’re now transforming colvector (4, -2, 3) instead of (4, -2, -3). Nbd, just threw me for a sec.