设向量组a1, a2, a3, a4,线性无关,证明:向量组a1+c1a4, a2+c2a4, a3+c3a4,线性无关(其中c1, c2, c3
设向量组a1, a2, a3, a4,线性无关,证明:向量组a1+c1a4, a2+c2a4, a3+c3a4,线性无关(其中c1, c2, c3是任意常数) .
【正确答案】:
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