In this video, the effect of the change of bases is demonstrated. We show how the components of tensors and vectors change when the basis is replaced with another one. The property of orthonormality is discussed here in detail.
In this video, we discuss the relationship between components of vectors having a different basis. The key concept used here is that the vector remains the same even when bases change. When we already know about two bases, then a transformation between different bases is very useful.