"elementary matrix" meaning in English

{
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    {
      "form": "elementary matrices",
      "tags": [
        "plural"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "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.)",
          "type": "example"
        },
        {
          "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.",
          "type": "example"
        }
      ],
      "glosses": [
        "A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
      ],
      "id": "en-elementary_matrix-en-noun-N-WvWYBH",
      "links": [
        [
          "linear algebra",
          "linear algebra"
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        [
          "square matrix",
          "square matrix"
        ],
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          "identity matrix",
          "identity matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "elementary matrix"
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  "lang_code": "en",
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      "examples": [
        {
          "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.)",
          "type": "example"
        },
        {
          "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.",
          "type": "example"
        }
      ],
      "glosses": [
        "A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
      ],
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          "linear algebra",
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          "square matrix",
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      "raw_glosses": [
        "(linear algebra) A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation."
      ],
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        "linear-algebra",
        "mathematics",
        "sciences"
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