Using properties of determinants, prove the following : $\begin {bmatrix} 1 & 1 + p & 1 + p + q \\ 2 & 3 + 2p & 1 + 3p + 2q \\ 3 & 6 + 3p & 1 + 6p + 3q \end{bmatrix} = 1 $

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