已知向量组α1α2...αs(s>1)线性无关,向量β1=α1+2α2 β2=α2+α3...βs-1=αs-1+αs βs=αs证明β1,β2,β3,βs线性相关我是这么做的:令B= (β1,β2,β3,βs)A=(α1,α2,α3,αs)B=AK12 12 1 K= ...K为s行s列的方阵 ,由A
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![已知向量组α1α2...αs(s>1)线性无关,向量β1=α1+2α2 β2=α2+α3...βs-1=αs-1+αs βs=αs证明β1,β2,β3,βs线性相关我是这么做的:令B= (β1,β2,β3,βs)A=(α1,α2,α3,αs)B=AK12 12 1 K= ...K为s行s列的方阵 ,由A](/uploads/image/z/11456468-44-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8F%E7%BB%84%CE%B11%CE%B12...%CE%B1s%28s%3E1%29%E7%BA%BF%E6%80%A7%E6%97%A0%E5%85%B3%2C%E5%90%91%E9%87%8F%CE%B21%3D%CE%B11%2B2%CE%B12+%CE%B22%3D%CE%B12%2B%CE%B13...%CE%B2s-1%3D%CE%B1s-1%2B%CE%B1s+%CE%B2s%3D%CE%B1s%E8%AF%81%E6%98%8E%CE%B21%2C%CE%B22%2C%CE%B23%2C%CE%B2s%E7%BA%BF%E6%80%A7%E7%9B%B8%E5%85%B3%E6%88%91%E6%98%AF%E8%BF%99%E4%B9%88%E5%81%9A%E7%9A%84%EF%BC%9A%E4%BB%A4B%3D+%EF%BC%88%CE%B21%2C%CE%B22%2C%CE%B23%2C%CE%B2s%EF%BC%89A%3D%EF%BC%88%CE%B11%2C%CE%B12%2C%CE%B13%2C%CE%B1s%EF%BC%89B%3DAK12+12+1+K%3D+...K%E4%B8%BAs%E8%A1%8Cs%E5%88%97%E7%9A%84%E6%96%B9%E9%98%B5+%2C%E7%94%B1A)
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