Similar matrices and diagonalizable matrices

In this video, we explore the interesting connections between similarity among matrices and whether a matrix is diagonalizable.

If two matrices have the same set of eigenvalues and both are diagonalizable, then they are similar to each other. We will prove this statement and do some exercises on this topic also.

[HoHonLeung]

There is a typo at 5:14, it should be 'R+N=2' instead of (what I have written) 'R+N=1'