Find the solution set of triplets ( x , y , z ) that fulfil...
Find the solution set of triplets that fulfil this system using Gauss-Jordan:
First of all, I don't see any variable there. I suppose it doesn't matter and I proceed normally:
So, this is the staggered reduced form. This is an homogeneous system (because of the null column), thus one solution is . Other than that, I have to check out the range of the system. The range is , which is less than the number of columns... what is the number of columns?
Answer & Explanation
Beginner2022-06-20Added 22 answers
You are almost at the end.The number of parameters is , so we have two parameter say and hence so the set of solutions are of the form
which is a plane or 2 dimensional subspace
Beginner2022-06-21Added 16 answers
You have two variables. and three equations. Solve for and using any two, get . Confirm that it is consistent with your third. Now deduce that all triples where satisfy this, because your equations don't depend on .
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