###### Definition 4.3.2

We say that the matrix \(A\) is *diagonalizable* if there is a diagonal matrix \(D\) and invertible matrix \(P\) such that

\begin{equation*}
A = PDP^{-1}\text{.}
\end{equation*}

We say that the matrix \(A\) is *diagonalizable* if there is a diagonal matrix \(D\) and invertible matrix \(P\) such that

\begin{equation*}
A = PDP^{-1}\text{.}
\end{equation*}