Similar matrices have similar properties

We define a notion of "Similar Matrices" where two matrices that are similar share many similar properties like eigenvalues, but don't share others like eigenvectors. This notion comes about via the idea of a change of basis Learning Objectives: 1) Apply properties of determinants to formulas like A=PBP^-1 2) Use change of basis as an example of similar matrices This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati.