Show that the two matrices A, `P^(-1) AP` have the same characteristic roots.

Explanation

To show that the two matrices \( A \) and \( P^{-1}AP \) have the same characteristic roots, we will follow these steps:

### Step 1: Define the characteristic polynomial
The characteristic polynomial of a matrix \( M \) is given by:
\[ p_M(\lambda) = \det(M - \lambda I \]
where \( I \) is the identity matrix of the same size as \( M \).
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