Linear Algebra Example Problems - Computing a Matrix to a Power

http://adampanagos.org In this example we compute A^5 where A is a 2x2 matrix. Instead of performing a "brute force" computation we use the matrix diagonalization A = PDP^-1 to perform the computation. We see that in general, the matrix diagonalization can greatly simplify the computation for matrices raised to large powers. If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!