设V1,V2,V3,V4是齐次线性方程组AX=0的一个基础解系,证明 β1=V2+V3+V4,β2=V1+V3+V4,β3=V1+V2+V4,β4=V1证明 β1=V2+V3+V4,β2=V1+V3+V4,β3=V1+V2+V4,β4=V1+V2+V3也方程组AX=0的一个基础解系
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![设V1,V2,V3,V4是齐次线性方程组AX=0的一个基础解系,证明 β1=V2+V3+V4,β2=V1+V3+V4,β3=V1+V2+V4,β4=V1证明 β1=V2+V3+V4,β2=V1+V3+V4,β3=V1+V2+V4,β4=V1+V2+V3也方程组AX=0的一个基础解系](/uploads/image/z/5512310-62-0.jpg?t=%E8%AE%BEV1%2CV2%2CV3%2CV4%E6%98%AF%E9%BD%90%E6%AC%A1%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84AX%3D0%E7%9A%84%E4%B8%80%E4%B8%AA%E5%9F%BA%E7%A1%80%E8%A7%A3%E7%B3%BB%2C%E8%AF%81%E6%98%8E+%CE%B21%3DV2%2BV3%2BV4%2C%CE%B22%3DV1%2BV3%2BV4%2C%CE%B23%3DV1%2BV2%2BV4%2C%CE%B24%3DV1%E8%AF%81%E6%98%8E+%CE%B21%3DV2%2BV3%2BV4%2C%CE%B22%3DV1%2BV3%2BV4%2C%CE%B23%3DV1%2BV2%2BV4%2C%CE%B24%3DV1%2BV2%2BV3%E4%B9%9F%E6%96%B9%E7%A8%8B%E7%BB%84AX%3D0%E7%9A%84%E4%B8%80%E4%B8%AA%E5%9F%BA%E7%A1%80%E8%A7%A3%E7%B3%BB)
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