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向量组的线性相关性(一)例1设123,,为三维列向量,10,A为三阶方阵,且11212323,,AAA,求证123,,线性无关.证明：若使1122330kkk（*）则1122330kAkAkA，即11212323()()0kkk与式（*）相减,得21320kk（#）乘A得21320kAkA，即21312()0kk与（#）式相减得310k，由10，得30k,代入式（#）得20k,代入式（*）... 2024-06-0851.45 MB13页
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