Diagonalize $$$\left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$

Diagonalize $$$\left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$.

First, find the eigenvalues and eigenvectors (for steps, see eigenvalues and eigenvectors calculator).

Eigenvalue: $$$i a g h m n r s t^{2} e^{e i n o r s^{2}}$$$, eigenvector: $$$\left[\begin{array}{c}1\end{array}\right]$$$.

Form the matrix $$$P$$$, whose column $$$i$$$ is eigenvector no. $$$i$$$: $$$P = \left[\begin{array}{c}1\end{array}\right]$$$.

Form the diagonal matrix $$$D$$$ whose element at row $$$i$$$, column $$$i$$$ is eigenvalue no. $$$i$$$: $$$D = \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$.

The matrices $$$P$$$ and $$$D$$$ are such that the initial matrix $$$\left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right] = P D P^{-1}$$$.

$$$P^{-1} = \left[\begin{array}{c}1\end{array}\right]$$$ (for steps, see inverse matrix calculator).

$$$P = \left[\begin{array}{c}1\end{array}\right]$$$A

$$$D = \left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$A

$$$P^{-1} = \left[\begin{array}{c}1\end{array}\right]$$$A