The discussion revolves around the truth value of the statement regarding homogeneous systems of linear equations and whether they always have a solution.
There appears to be a general agreement among participants regarding the truth of the statement, though some express this in a questioning manner, indicating a desire for further validation rather than outright consensus.
The discussion includes repeated assertions about the nature of homogeneous systems and their solutions, but lacks formal definitions or references to specific theorems.
Math100 said:Homework Statement
(True or False) Every homogeneous system of linear equations has a solution.
Homework Equations
None.
The Attempt at a Solution
Considering that homogeneous system of linear equations are never inconsistent, the statement must be true, right?
You tell us.Math100 said:Yes, so this statement is true?
Right.Math100 said:It's true.