How to calculate the inverse of the matrix $(I_{m+1}+A)$, where $A$ is given by $ \[ A=\left( \begin{array}{cc} 0 & a1_{m}^{T} \\ a1_{m} & 1_{m}1_{m}^{T}% \end{array}% \right) , % $ with $1_{m}$ is a vector of ones of length $m$, $I_{m}$ is an identity matrix. $a$ is a constant that is different from zero and 1. Thanks a lot!
2026-04-03 14:26:26.1775226386
Inverse of sum of identity matrix and a special matrix
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