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To estimate the eigenvalues of the given matrix using Gerschgorin bounds, let’s go step by step. ### Matrix \(A\): \[ A = \begin{bmatrix} 1 & 2 & -1 \\ 1 & 1 & 1 \\ 1 & 3 & -1 \end{bmatrix} \] ### Gerschgorin Circle Theorem: The Gerschgorin Circle Theorem states that every eigenvalue of \(A\) lies within at least one of the Gerschgorin discs, each centered at \(a_{ii}\) with a radius equal to the sum ____ ________ _______ ________ _______ ____ _________ ___ ______ __________ __________ _______.
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