Linear Algebra 3:Vector
2019-07-21 本文已影响0人
有魔法的迷雾森林
1.Vector
A vector is a set of numbers.
![](https://img.haomeiwen.com/i16729476/1696307fdcd0b2e9.png)
In Linear Algebra,the term vector refers to a column vector unless being explicitly mentioned otherwise.
2.Components(成员)
The entries of a vector,the i-th componment of vector V refers to 。
当 componment < 4 时,我们可以visualize it:
![](https://img.haomeiwen.com/i16729476/56d31e4de09f4df1.png)
3.Scalar Multiplication(数乘)
![](https://img.haomeiwen.com/i16729476/5be6b4c64e5cec20.png)
4.Vector Addition
![](https://img.haomeiwen.com/i16729476/0eac1222978f3e7e.png)
5.Vector Set
(1)A vector set can contain infinite element.
(2):We donate the set of all vectors with n entries by
.(所有n维向量的和)
6.Properties of vector
![](https://img.haomeiwen.com/i16729476/f136d0106f937772.png)
![](https://img.haomeiwen.com/i16729476/9e9bd71b3622a697.png)