Question

线性代数复习题 请大神写个具体过程看一下

线性代数复习题 请大神写个具体过程看一下如图 麻烦写纸上然后拍下来看下 马上采纳

Answer 1

A = (a1, a2, a3, a4, a5) =
[1 1 2 2 1]
[0 2 1 5 -1]
[2 0 3 -1 3]
[1 1 0 4 1]
初等行变换为
[1 1 2 2 1]
[0 2 1 5 -1]
[0 -2 -1 -5 1]
[0 0 -2 2 0]
初等行变换为
[1 1 2 2 1]
[0 2 1 5 -1]
[0 0 0 0 0]
[0 0 1 -1 0]
初等行变换为
[1 1 0 4 1]
[0 2 0 6 -1]
[0 0 1 -1 0]
[0 0 0 0 0]
初等行变换为

[1 0 0 1 3/2]
[0 1 0 3 -1/2]
[0 0 1 -1 0]
[0 0 0 0 0]
r(a1, a2, a3, a4, a5) = 3,
a1, a2, a3 是一个极大线性无关组。
a4 = a1 + 3a2 - a3, a5 = (3a1-a2)/2