"linearly dependent" meaning in All languages combined

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "linearly dependent (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Czech translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Danish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Icelandic translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Having a nontrivial linear combination which is zero."
      ],
      "id": "en-linearly_dependent-en-adj-Vworbe39",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "linear combination",
          "linear combination"
        ]
      ],
      "raw_glosses": [
        "(algebra, of a set of vectors or ring elements) Having a nontrivial linear combination which is zero."
      ],
      "raw_tags": [
        "of a set of vectors or ring elements"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "algebra",
          "word": "lineárně závislý"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "algebra",
          "word": "lineært afhængig"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "algebra",
          "word": "lineaarisesti riippuva"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "algebra",
          "word": "sidottu"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "algebra",
          "tags": [
            "masculine"
          ],
          "word": "línulega háður"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "linéjno zavísimyj",
          "sense": "algebra",
          "word": "лине́йно зави́симый"
        }
      ]
    }
  ],
  "word": "linearly dependent"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "linearly dependent (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English adverb-adjective phrases",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English terms with non-redundant non-automated sortkeys",
        "English uncomparable adjectives",
        "Terms with Czech translations",
        "Terms with Danish translations",
        "Terms with Finnish translations",
        "Terms with Icelandic translations",
        "Terms with Russian translations",
        "en:Algebra"
      ],
      "glosses": [
        "Having a nontrivial linear combination which is zero."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "linear combination",
          "linear combination"
        ]
      ],
      "raw_glosses": [
        "(algebra, of a set of vectors or ring elements) Having a nontrivial linear combination which is zero."
      ],
      "raw_tags": [
        "of a set of vectors or ring elements"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "algebra",
      "word": "lineárně závislý"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "algebra",
      "word": "lineært afhængig"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "algebra",
      "word": "lineaarisesti riippuva"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "algebra",
      "word": "sidottu"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "algebra",
      "tags": [
        "masculine"
      ],
      "word": "línulega háður"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "linéjno zavísimyj",
      "sense": "algebra",
      "word": "лине́йно зави́симый"
    }
  ],
  "word": "linearly dependent"
}