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# Problem/QM-06108

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A particular state of a physical system is represented by $\psi = \begin{pmatrix} 1 \\ 1+i \\ 1-i \end{pmatrix}.$ Find value of $$\lambda$$ such that the vector $$\phi$$, where $\phi= \begin{pmatrix} \lambda \\ 2i \\ 2\end{pmatrix}$ may represent the same state as $$\psi$$.
\paragraph*{Answer: $$\lambda = (1+i)$$}

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