1 The set {(2,1,1),(1,2,1),(0,1,1),(1,1,1)} spans R3.Use the proof of the Reduction Theorem as a recipe for finding a subset of this set that is a basis of R3.2 Theorem:Homogeneous system implies S is a subspace.问下1 其中 Reduction Theorem 中

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1 The set {(2,1,1),(1,2,1),(0,1,1),(1,1,1)} spans R3.Use the proof of the Reduction Theorem as a recipe for finding a subset of this set that is a basis of R3.2 Theorem:Homogeneous system implies S is a subspace.问下1 其中 Reduction Theorem 中

1 The set {(2,1,1),(1,2,1),(0,1,1),(1,1,1)} spans R3.Use the proof of the Reduction Theorem as a recipe for finding a subset of this set that is a basis of R3.2 Theorem:Homogeneous system implies S is a subspace.问下1 其中 Reduction Theorem 中
1 The set {(2,1,1),(1,2,1),(0,1,1),(1,1,1)} spans R3.
Use the proof of the Reduction Theorem as a recipe for finding a subset of this set that is a basis of R3.
2 Theorem:Homogeneous system implies S is a subspace.
问下
1 其中 Reduction Theorem 中文翻译是什么 以及具体解释.
2 再问下 这个题让干什么?随便三个不空面的向量不就可以形成一个 3维空间的基吗?难道这个题就是随便选三个向量就好了吗?
3 Homogeneous system 的中文翻译和定义是什么?

1 The set {(2,1,1),(1,2,1),(0,1,1),(1,1,1)} spans R3.Use the proof of the Reduction Theorem as a recipe for finding a subset of this set that is a basis of R3.2 Theorem:Homogeneous system implies S is a subspace.问下1 其中 Reduction Theorem 中
不共面的向量,也就是说向量组线性无关.第一问就是用初等变换法找出极大线性无关组.
用初等变换化成一个上三角矩阵后,找出三个能组成满秩方阵的三个向量,就是极大无关组.
见下面的例子.
第二个我也不会翻译,应该是齐次方程组

Reduction Theorem 中文翻译不确定,直译为删减理论,即如果一个向量组中某个向量可由其他向量线性表示,则寻找极大线性无关组时该向量多余,可以直接删掉。该问题就是从已知向量组里寻找一个极大线性无关组。
第二个我也不会翻译,应该是齐次方程组...

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Reduction Theorem 中文翻译不确定,直译为删减理论,即如果一个向量组中某个向量可由其他向量线性表示,则寻找极大线性无关组时该向量多余,可以直接删掉。该问题就是从已知向量组里寻找一个极大线性无关组。
第二个我也不会翻译,应该是齐次方程组

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