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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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