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        "quote": "换言之，零向量 0 不能写成这些向量的非平凡线性组合。零向量永远不可能是一个线性无关集合的成员，因为对任意 $a \\in \\mathbb { K }$ 都有 $a 0 = 0$。如果 $A$ 是向量的有限集，$A = \\{ v _ { 1 } , v _ { 2 } , . . . , v _ { n } \\}$，则只需在上述定义中令 $k = n$。向量空间 $V$ 的子集 $E$ 称为一个<u id=\"concept-3-basis\" class=\"concept-term\" data-concept-identity=\"urn:uuid:7e3b88ac-3d0c-45bd-82d8-090fd0c22b05\" data-concept-route=\"/concept-identities#concept-7e3b88ac-3d0c-45bd-82d8-090fd0c22b05\">基(basis)</u>，如果它线性无关并且张成整个 $V$。一个向量集合若线性无关不成立，则称为<u id=\"concept-3-linearly-dependent\" class=\"concept-term\" data-concept-identity=\"urn:uuid:55c8e28c-473e-4094-89d6-2a1ea16879e3\" data-concept-route=\"/concept-identities#concept-55c8e28c-473e-4094-89d6-2a1ea16879e3\">线性相关(linearly dependent)</u>。",
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