随笔分类 -  Linear Algebra

满射(onto) 和 单射(one-to-one)
摘要:满射 A mapping \(T: \mathbb{R}^{n} \rightarrow \mathbb{R}^{m}\) is said to be onto \(\mathbb{R}^{m}\) if each \(\mathbf{b}\) in \(\mathbb{R}^{m}\) is th 阅读全文
posted @ 2021-04-24 11:22 A2he 阅读(2177) 评论(0) 推荐(0)
linear transformation
摘要:Ax=b,Au=0 represent the transformation between x and b,0 define a note T as the linear transformation, we call above as the linear transformation,for 阅读全文
posted @ 2021-04-23 19:58 A2he 阅读(142) 评论(0) 推荐(0)
solution set and span
摘要:Homogeneous Linear System illustrated as just below , the solution set is Span{u,v} Nonhomogeneous System \(Ax=p\),supposed that v is the solution of 阅读全文
posted @ 2021-04-23 17:43 A2he 阅读(51) 评论(0) 推荐(0)
A Geometric Description of Span
摘要:Span one vector to a line Let \(\mathbf{v}\) be a nonzero vector in \(\mathbb{R}^{3} .\) Then \(\operatorname{Span}\{\mathbf{v}\}\) is the set of all 阅读全文
posted @ 2021-04-21 22:08 A2he 阅读(120) 评论(0) 推荐(0)