"column echelon form" meaning in English

{
  "forms": [
    {
      "form": "column echelon forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "column echelon form (plural column echelon forms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The transpose of the row echelon form of the transpose of a given matrix."
      ],
      "id": "en-column_echelon_form-en-noun-mMxqjh1P",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "transpose",
          "transpose"
        ],
        [
          "row echelon form",
          "row echelon form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) The transpose of the row echelon form of the transpose of a given matrix."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "column echelon form"
}

{
  "forms": [
    {
      "form": "column echelon forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "column echelon form (plural column echelon forms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Linear algebra"
      ],
      "glosses": [
        "The transpose of the row echelon form of the transpose of a given matrix."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "transpose",
          "transpose"
        ],
        [
          "row echelon form",
          "row echelon form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) The transpose of the row echelon form of the transpose of a given matrix."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "column echelon form"
}