Do all homogeneous systems of linear equations have solutions?

[Math100]

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?

 

[Dick]

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?

How about all variables equal to zero? That always works, doesn't it?

 

[Math100]

Yes, so this statement is true?

 

[Ray Vickson]

Yes, so this statement is true?

You tell us.

 

[Math100]

It's true.

 

[Ray Vickson]

It's true.

Right.

 

[Math100]

Thanks.