搜搜做题作业网请问哪位高手可以帮我做一道关于向量的题目,
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请问哪位高手可以帮我做一道关于向量的题目,
可是我有困难,(题目如下）（中英文）
suppose you know that the 3 by 4 matrix A has the vector S=(2,3,1,0) as the only special solution to Ax=0.
(a) What is the rank of A and the complete solution to Ax=0
(b) What is the exact row reduced echelon form Rof
(c) How do you know that Ax=b can be solved for all
假设你知道一个3排4列的的矩阵A只有一个Ax=0的特别解法 S=（2,3,1,0）
（a）A的rank是什么,求出Ax=0的complete solution
(b) 求出A的最简梯形形式R
(C) 你怎么知道Ax=b 对所有b都有解
这个就是问题了,下周就要用了,
可是我有困难,(题目如下）（中英文）
suppose you know that the 3 by 4 matrix A has the vector S=(2,3,1,0) as the only special solution to Ax=0.
(a) What is the rank of A and the complete solution to Ax=0
(b) What is the exact row reduced echelon form Rof
(c) How do you know that Ax=b can be solved for all
假设你知道一个3排4列的的矩阵A只有一个Ax=0的特别解法 S=（2,3,1,0）
（a）A的rank是什么,求出Ax=0的complete solution
(b) 求出A的最简梯形形式R
(C) 你怎么知道Ax=b 对所有b都有解
这个就是问题了,下周就要用了,
a. r(A) = 3, Ax=0的complete solution = {tS | t： any real number.}
b.
1 0 0 0
0 1 0 0
0 0 1 0
c. since r(A) = 3, so dim{Ax | x in R^4}= 3, i.e. it's an onto. Hence Ax=b has solutions for any y.
b.
1 0 0 0
0 1 0 0
0 0 1 0
c. since r(A) = 3, so dim{Ax | x in R^4}= 3, i.e. it's an onto. Hence Ax=b has solutions for any y.