Recent content by Anarza

Ah, that actually makes sense! Thank you for going through the details.

Hmm, I'm not quite sure. I did a check to make sure the one I'm dealing with is, but I would be interested in knowing what to do in other cases as well. The book I'm using gives examples on how to go forward from A to A100 via use of patterns, but those matricies are diagonalizable as well.

After finding the diagonal, the P matrix, and the inverse of P, I'm setting them equal to An (with the numeric digits in the diagonal also set to the nth power). The cross produce of these three matrices supposedly give me the power formula of the base matrix A. Example: A 3x3 matrix of...

Homework Statement If A100 is some 3x3 matrix, find the base matrix A. 2. Relevant information Eigenvalues, diagonalization, etc. The Attempt at a Solution So far, I've been finding the eigenvalues and diagonalizing the matrix via A = P-1DP where D is the diagonal matrix and P is a matrix...