Statistics Solutions

[Solved] Inverse of running sum matrix. Find the inverse of the n * n running sum matrix,

Question: Inverse of running sum matrix. Find the inverse of the \(n \times n\) running sum matrix,

\[S=\left[\begin{array}{ccccc} 1 & 0 & \cdots & 0 & 0 \\ 1 & 1 & \cdots & 0 & 0 \\ \vdots & \vdots & \ddots & \vdots & \vdots \\ 1 & 1 & \cdots & 1 & 0 \\ 1 & 1 & \cdots & 1 & 1 \end{array}\right]\]

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