(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let be Ax=b any consistent system of linear equations, and let be x_{1}a fixed solution. Show that every solution to the system

can be written in the form x=x_{1}+x_{0}, where x_{0}is a solution Ax=0 . Show also that every matrix of this form is a solution

2. Relevant equations

3. The attempt at a solution

well A(x_{1}+x_{0})= Ax_{1}+Ax_{0}=b+0=b

but this only proves that any matrix x=x1+x0 is a solution but not that every solution can be written as such and i dont know how to prove that

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# Homework Help: Linear algebra systems ,Ax=b,Ax=0

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