2012-20 the Inverse of an Upper Triangular Matrix

Let \(A=(a_{ij})\) be an \(n\times n\) upper triangular matrix such that \[a_{ij}=\binom{n-i+1}{j-i}\] for all \(i\le j\). Find the inverse matrix of \(A\).

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2012-20 the Inverse of an Upper Triangular Matrix, 5.0 out of 5 based on 14 ratings