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# Problem/QM-06016

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$$\newcommand{\average}[2]{\rangle#1|#2|#1\rangle}$$ The state of a quantum system is represented by a two component vector $f = \begin{pmatrix}1+3i \\3-i \end{pmatrix}$ For the dynamical variable $$Y$$ $Y = \begin{pmatrix}0 & -i\\i & 0\end{pmatrix}$ compute the average $\average{f}{Y},\average{f}{Y^2}$  and the uncertainty $\Delta Y$ for the
variable $Y$ where \begin{equation*} Y= \begin{pmatrix} 0 & -i \\ i &0
\end{pmatrix} \end{equation*} Give your remarks, if any, on the answer you obtained.

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