同济线性代数第五版113页例1的疑问已知3维向量空间r3中两个向量a1=(1 1 1)T a2=(1 -2 1)T正交试求非零向量a3使a1,a2.a3正交我这样做,记a3=(a31 a32 a33)T记A=(a1 a2 a3)a1 a2 a3无关即r(A)=3即|A|不等于0可得a31
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![同济线性代数第五版113页例1的疑问已知3维向量空间r3中两个向量a1=(1 1 1)T a2=(1 -2 1)T正交试求非零向量a3使a1,a2.a3正交我这样做,记a3=(a31 a32 a33)T记A=(a1 a2 a3)a1 a2 a3无关即r(A)=3即|A|不等于0可得a31](/uploads/image/z/14955081-33-1.jpg?t=%E5%90%8C%E6%B5%8E%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%E7%AC%AC%E4%BA%94%E7%89%88113%E9%A1%B5%E4%BE%8B1%E7%9A%84%E7%96%91%E9%97%AE%E5%B7%B2%E7%9F%A53%E7%BB%B4%E5%90%91%E9%87%8F%E7%A9%BA%E9%97%B4r3%E4%B8%AD%E4%B8%A4%E4%B8%AA%E5%90%91%E9%87%8Fa1%3D%281+1+1%29T+a2%3D%281+-2+1%29T%E6%AD%A3%E4%BA%A4%E8%AF%95%E6%B1%82%E9%9D%9E%E9%9B%B6%E5%90%91%E9%87%8Fa3%E4%BD%BFa1%2Ca2.a3%E6%AD%A3%E4%BA%A4%E6%88%91%E8%BF%99%E6%A0%B7%E5%81%9A%2C%E8%AE%B0a3%3D%28a31+a32+a33%29T%E8%AE%B0A%3D%28a1+a2+a3%29a1+a2+a3%E6%97%A0%E5%85%B3%E5%8D%B3r%28A%29%3D3%E5%8D%B3%7CA%7C%E4%B8%8D%E7%AD%89%E4%BA%8E0%E5%8F%AF%E5%BE%97a31)
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