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Question

) Consider the matrixV= V=\left[\begin{array}{lll}

1 & 1 & 1 \\

\lambda_{1} & \lambda_{2} & \lambda_{3} \\

\lambda_{1}^{2} & \lambda_{2}^{2} & \lambda_{3}^{2}

\end{array}\right] \text { rove that we have det } V=\left(\lambda_{2}-\lambda_{1}\right)\left(\lambda_{3}-\lambda_{1}\right)\left(\lambda_{3}-\lambda_{2}\right) When is the matrix V invertible?

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