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Reduction of a square matrix to triangular form
Published online by Cambridge University Press: 22 September 2016
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Given a square matrix A with real or complex entries, there may not exist an invertible matrix S such that S-lAS is diagonal. For instance,
cannot be diagonalised in this way (the contrary assumption leads by easy direct calculation, to a contradition); however, this matrix is already upper-triangular.
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- Copyright © Mathematical Association 1980