When trying to solve ##\mathbb{S}^2 =\hbar^2s(s+1)\mathbb{I},##(adsbygoogle = window.adsbygoogle || []).push({});

I got that ##\mathbb{S}^2 = \mathbb{S}^2 _x+\mathbb{S}^2_y+\mathbb{S}^2_z = \frac{3\hbar^2}{4}

\left[\begin{array}{ c c }1 & 0\\0 & 1\end{array} \right] = \frac{3\hbar^2}{4}\mathbb{I},## but how does ##\frac{3\hbar^2}{4} = \hbar^2s(s+1)?##

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# Quantum Mechanics: Three Spin Observables

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