"elementary matrix" meaning in All languages combined

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  "lang_code": "en",
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          "text": "When an elementary matrix multiplies a square matrix from the left, it applies to that matrix an elementary row operation homologous to the one that created its own self. (Likewise, when an elementary matrix multiplies a square matrix from the right, it applies to that matrix an elementary column operation homologous to the one that created its own self.)",
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          "text": "If a series of elementary matrices applied to a given square matrix row-reduce it to the identity matrix, then the same series of elementary matrices applied to the identity matrix yield the inverse of the given matrix.",
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        "A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
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        "(linear algebra) A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
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          "text": "When an elementary matrix multiplies a square matrix from the left, it applies to that matrix an elementary row operation homologous to the one that created its own self. (Likewise, when an elementary matrix multiplies a square matrix from the right, it applies to that matrix an elementary column operation homologous to the one that created its own self.)",
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        "A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
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        "(linear algebra) A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
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