1. (Gerschgorin's Circle Theorem) For an n x n matrix A = [ai;], define a circle C; of center di and radius ri = Ejti la
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1. (Gerschgorin's Circle Theorem) For an n x n matrix A = [ai;], define a circle C; of center di and radius ri = Ejti la
1. (Gerschgorin's Circle Theorem) For an n x n matrix A = [ai;], define a circle C; of center di and radius ri = Ejti laijl for each i = 1,..., n. Prove that every eigenvalue of the matrix belongs to the union URC.
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