证明齐次线性方程组仅有零解感觉这个有点像范德蒙行列式,我证了好久也没有整出来证明齐次线性方程组x1+x2...+xn=02 x1+2^2 x2+...+2^n xn =0...n x1+n^2 x2+...+n^n xn=0仅有零解
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![证明齐次线性方程组仅有零解感觉这个有点像范德蒙行列式,我证了好久也没有整出来证明齐次线性方程组x1+x2...+xn=02 x1+2^2 x2+...+2^n xn =0...n x1+n^2 x2+...+n^n xn=0仅有零解](/uploads/image/z/11460048-24-8.jpg?t=%E8%AF%81%E6%98%8E%E9%BD%90%E6%AC%A1%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84%E4%BB%85%E6%9C%89%E9%9B%B6%E8%A7%A3%E6%84%9F%E8%A7%89%E8%BF%99%E4%B8%AA%E6%9C%89%E7%82%B9%E5%83%8F%E8%8C%83%E5%BE%B7%E8%92%99%E8%A1%8C%E5%88%97%E5%BC%8F%2C%E6%88%91%E8%AF%81%E4%BA%86%E5%A5%BD%E4%B9%85%E4%B9%9F%E6%B2%A1%E6%9C%89%E6%95%B4%E5%87%BA%E6%9D%A5%E8%AF%81%E6%98%8E%E9%BD%90%E6%AC%A1%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84x1%2Bx2...%2Bxn%3D02+x1%2B2%5E2+x2%2B...%2B2%5En+xn+%3D0...n+x1%2Bn%5E2+x2%2B...%2Bn%5En+xn%3D0%E4%BB%85%E6%9C%89%E9%9B%B6%E8%A7%A3)
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