Reduced echelon form where all variables seem to = 0

  • Thread starter Darkmisc
  • Start date
  • #1
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2

Homework Statement


Suppose I have the augmented matrix

0 -1 0 | 0
0 -6 3 | 0
0 -1 0 | 0


Homework Equations



which equates to -y = 0 and -6y + 3z = 0.


The Attempt at a Solution



Would the solution be that x, y and z all equal 0?

Or do I need to let the missing variable, x = s and free variable z = t, so the solution is

1 0
s[ 0 ] + t [ 0.5 ]
0 1

(even though I know y = 0 and therefore the free variable must(?) be 0 ) ?




Thanks.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Sort of. Yes, definitely y=0 and z=0. And x is free. z isn't.
 

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