Obtain the inverses of the matrices \( \left[\begin{array}{lll}1 & ...

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Obtain the inverses of the matrices \( \left[\begin{array}{lll}1 & p & 0 \\ 0 & 1 & p \\ 0 & 0 & 1\end{array}\right] \) and \( \left[\begin{array}{lll}1 & 0 & 0 \\ q & 1 & 0 \\ 0 & q & 1\end{array}\right] \).
\( \mathrm{P} \)
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And, hence find the inverse of the matrix \( \left[\begin{array}{ccc}1+p q & p & 0 \\ q & 1+p q & p \\ 0 & q & 1\end{array}\right] \).
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