Is this statement true or false?

  • Thread starter Math100
  • Start date
  • #1
Math100
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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?
 

Answers and Replies

  • #2
Dick
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Homework Helper
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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?
 
  • #3
Math100
676
180
Yes, so this statement is true?
 
  • #4
Ray Vickson
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  • #5
Math100
676
180
It's true.
 
  • #7
Math100
676
180
Thanks.
 

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