Evaluate matrix perturbation

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Question: Matrix Perturbation. Show that given any n × n matrix A and an arbitrary ε > 0, it IS possible to perturb the entries of A by an amount less than ε so that the resulting matrix is diagonalizable. (This result is useful m many theoretical developments, since it is often easiest to work out a theory for diagonalizable matrices and then extend the theory to the general case by a limiting argument.)

Reference no: EM131466616

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