大学线性代数题~设向量组α1,α2,…,αr线性相关,而其中任意r-1个向量都线性无关,证明:要使k1α1+k2α2+…+krαr=0成立,k1,k2,k3...kr必全不为零或全为零.求证法.以及如果全为0那原向量组向量组α1,α2,
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![大学线性代数题~设向量组α1,α2,…,αr线性相关,而其中任意r-1个向量都线性无关,证明:要使k1α1+k2α2+…+krαr=0成立,k1,k2,k3...kr必全不为零或全为零.求证法.以及如果全为0那原向量组向量组α1,α2,](/uploads/image/z/3614247-63-7.jpg?t=%E5%A4%A7%E5%AD%A6%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%E9%A2%98%7E%E8%AE%BE%E5%90%91%E9%87%8F%E7%BB%84%CE%B11%2C%CE%B12%2C%E2%80%A6%2C%CE%B1r%E7%BA%BF%E6%80%A7%E7%9B%B8%E5%85%B3%2C%E8%80%8C%E5%85%B6%E4%B8%AD%E4%BB%BB%E6%84%8Fr-1%E4%B8%AA%E5%90%91%E9%87%8F%E9%83%BD%E7%BA%BF%E6%80%A7%E6%97%A0%E5%85%B3%2C%E8%AF%81%E6%98%8E%3A%E8%A6%81%E4%BD%BFk1%CE%B11%2Bk2%CE%B12%2B%E2%80%A6%2Bkr%CE%B1r%3D0%E6%88%90%E7%AB%8B%2Ck1%2Ck2%2Ck3...kr%E5%BF%85%E5%85%A8%E4%B8%8D%E4%B8%BA%E9%9B%B6%E6%88%96%E5%85%A8%E4%B8%BA%E9%9B%B6.%E6%B1%82%E8%AF%81%E6%B3%95.%E4%BB%A5%E5%8F%8A%E5%A6%82%E6%9E%9C%E5%85%A8%E4%B8%BA0%E9%82%A3%E5%8E%9F%E5%90%91%E9%87%8F%E7%BB%84%E5%90%91%E9%87%8F%E7%BB%84%CE%B11%2C%CE%B12%2C)
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