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.
It depends on the type of statement. Some statements can be proven through experimentation or evidence, while others may be subjective or based on individual beliefs.
Yes, a statement can have elements of truth and falsehood. It is important to consider the context and specifics of the statement to determine its overall validity.
No, a statement cannot be both true and false simultaneously. A statement is either true or false, but not both.
The best way to determine the truthfulness of a statement is to gather evidence and information from reliable sources, critically evaluate the information, and come to a logical conclusion.
Yes, a statement can become false if new evidence or information is discovered that contradicts the original statement. This is why it is important to constantly reevaluate and update our understanding of the world.