Abstract
ABSTRACT A square matrix is said to be diagonalizable if it is similar to a diagonal matrix. In this paper, we discuss diagonability of matrices over commutative semirings and give an equivalent condition for an idempotent matrix over a commutative semiring to be diagonalizable. Also, we obtain an equivalent description for a matrix over a multiplicatively cancellative and commutative semiring to be diagonalizable.
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