Word Count : 280

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To estimate the eigenvalues of a matrix using Gerschgorin bounds, we consider each row of the matrix and construct discs in the complex plane. If the matrix is $$ A = [a_{ij}], \quad i,j = 1,2,\dots,n $$ then for each row $i$, the Gerschgorin disc is __________ ________ __________ _________ ___.
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