Question

求助！求助！帮我解一下下面线性代数题目，谢谢啦～～

Answer 1

A = (a1, a2, a3, a4, a5) 初等行变换为
[1 1 2 1 1]
[0 2 1 3 -1]
[0 -2 -1 -3 1]
[0 0 -2 3 -2]
A 初等行变换为
[1 1 2 1 1]
[0 2 1 3 -1]
[0 0 0 0 0]
[0 0 -2 3 -2]
A 初等行变换为
[1 0 3/2 -1/2 3/2]
[0 1 1/2 3/2 -1/2]
[0 0 1 -3/2 1]
[0 0 0 0 0]
A 初等行变换为
[1 0 0 7/4 0]
[0 1 0 9/4 -1]
[0 0 1 -3/2 1]
[0 0 0 0 0]
r(a1, a2, a3, a4, a5) = 3,
a1, a2, a3 是 a1, a2, a3, a4, a5 的一个极大线性无关组,
a4 = (1/4)(7a1+9a2-6a3)
a5 = -a2+a3