SOLUTION: how do you make a system of three linear equations in three variables for which the solution set is (0,0,0)? why is the set called homogeneous system?

Question 910867: how do you make a system of three linear equations in three variables for which the solution set is (0,0,0)? why is the set called homogeneous system?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Any system that has the zero vector as the right hand side is a homogeneous system which means the zero vector is always a solution.
If the matrix is not singular, it's the only solution, like in this case.
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