Create Time: 27th Dec 2023
Title: "[[Vector-Space]]"
status: DONE
Author:
- AllenYGY
tags:
- VectorSpaces
- Lec1
- NOTE
- LinearAlgebra
created: 2023-12-27T02:00
updated: 2024-04-08T22:58
Definition:
A polynomial of degree k (k≥0) is a function of the form
To show that a subset S of a vector space forms a subspace, we must show that
If
Nonzero vectors
Let
Let
If V is a vector space with dim V = n > 0, then
If V is a vector space with dim V = n > 0, then
Given vector
Given vector
Changing coordinate vectors from one basis {
For an m×n matrix A, the rows are n-vectors from
Let
Let