"linear subspace" meaning in English

{
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      "form": "linear subspaces",
      "tags": [
        "plural"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "name": "Linear algebra",
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        }
      ],
      "glosses": [
        "A subset of vectors of a vector space which is closed under the addition and scalar multiplication of that vector space."
      ],
      "id": "en-linear_subspace-en-noun-XtEelIXG",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "scalar multiplication",
          "scalar multiplication"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A subset of vectors of a vector space which is closed under the addition and scalar multiplication of that vector space."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "hu",
          "lang": "Hungarian",
          "lang_code": "hu",
          "sense": "Translations",
          "word": "lineáris altér"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "lang_code": "pl",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "podprzestrzeń liniowa"
        }
      ]
    }
  ],
  "word": "linear subspace"
}

{
  "forms": [
    {
      "form": "linear subspaces",
      "tags": [
        "plural"
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  "lang_code": "en",
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        "en:Linear algebra"
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      "glosses": [
        "A subset of vectors of a vector space which is closed under the addition and scalar multiplication of that vector space."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "vector space",
          "vector space"
        ],
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          "scalar multiplication",
          "scalar multiplication"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A subset of vectors of a vector space which is closed under the addition and scalar multiplication of that vector space."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "hu",
      "lang": "Hungarian",
      "lang_code": "hu",
      "sense": "Translations",
      "word": "lineáris altér"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "lang_code": "pl",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "podprzestrzeń liniowa"
    }
  ],
  "word": "linear subspace"
}