"Linear Algebra and its Applications"-chaper4-vector space-subspace, 0 space, column space

Source: Internet
Author: User

A very important concept in linear algebra is the vector space r^n, which will focus on a series of properties of vector space.

A vector space is a non-empty set v consisting of some vector elements, which needs to satisfy the following axioms:

The subspace H of the vector space V needs to meet the following three conditions:

The two theorems are in the elaboration of how to form subspace, and its proof simply proves that the constructed subspace satisfies the three conditions that the subspace H needs to satisfy.

"Linear Algebra and its Applications"-chaper4-vector space-subspace, 0 space, column space

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