Diagonalize $$$\left[\begin{array}{cccc}\frac{1}{2} & \frac{1}{2} & 0 & 0\\\frac{1}{2} & 0 & \frac{1}{2} & 0\\\frac{1}{2} & 0 & 0 & \frac{1}{2}\\0 & 0 & 0 & 1\end{array}\right]$$$

The calculator will diagonalize (if possible) the square $$$4$$$x$$$4$$$ matrix $$$\left[\begin{array}{cccc}\frac{1}{2} & \frac{1}{2} & 0 & 0\\\frac{1}{2} & 0 & \frac{1}{2} & 0\\\frac{1}{2} & 0 & 0 & \frac{1}{2}\\0 & 0 & 0 & 1\end{array}\right]$$$, with steps shown.
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Diagonalize $$$\left[\begin{array}{cccc}\frac{1}{2} & \frac{1}{2} & 0 & 0\\\frac{1}{2} & 0 & \frac{1}{2} & 0\\\frac{1}{2} & 0 & 0 & \frac{1}{2}\\0 & 0 & 0 & 1\end{array}\right]$$$.


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