【简答题】![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/logo-new-ad743.png)
设二次型
的正负惯性指数都是1.设α 1 ,α 2 ,α 3 ,α 4 ,β为4维列向量,A=(α 1 ,α 2 ,α 3 ,α 4 ),若Ax=β的通解为(-1,1,0,2) T +k(1,-1,2,0) T .设α 1 ,α 2 ,α 3 ,α 4 ,β为4维列向量,A=(α 1 ,α 2 ,α 3 ,α 4 ),若Ax=β的通解为(-1,1,0,2) T +k(1,-1,2,0) T .
用正交变换将二次型化为标准形;
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参考答案:
![](https://cos-cdn.shuashuati.com/shuashuati-web/2024-0521-0905-00/logo-new-ad743.png)
【单选题】已知`\vec\alpha _1,\vec\alpha _2,\vec\beta _1,\vec\beta _2`是3维列向量,设`\A = [\vec\alpha _1,\vec\alpha _2,\vec\beta _1],B = [\vec\alpha _1,\vec\alpha _2,\vec\beta _2],| A | = 2,| B | = 3`, 则行列式`\| 2A - B| =...
【单选题】已知`\vec\alpha _1,\vec\alpha _2,\vec\beta _1,\vec\beta _2`是3维列向量,设`\A = [\vec\alpha _1,\vec\alpha _2,\vec\beta _1],B = [\vec\alpha _1,\vec\alpha _2,\vec\beta _2],| A | = 2,| B | = 3`, 则行列式`\| 2A - B| =...
参考解析:
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