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Idempotent Matrices and Their Properties: a Study |

Ashwani Kumar, in Journal of Advances in Science and Technology | Science & Technology


An idempotent matrix is a matrix which, when multiplied by itself,yields itself. That is, the matrix M is idempotent if andonly if MM = M. For this product MM tobe defined, M must necessarilybe a square matrix. Viewed this way, idempotent matricesare idempotent elements of matrixrings.