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 with A's eigenvalues. hoping to find the base matrix with powers of n. Any suggestions to guide me?
There was a similar discussion to this earlier, trying to reference that as well.