Matrix problem

  • Thread starter beanryu
  • Start date
  • #1
92
0
hello.
please help!!!

this is the problem:
determine the value of h such that the matrix is the augmented matrix of a consistent linear system.

1 -3 -2
5 h -7

i tried replacing and scaling... but it seems there are always 2 variable in this.
can you guys help me solve this problem?
 

Answers and Replies

  • #2
J77
1,083
1
Is that an augmented system:

1x-3y=-2
5x+hy=-7

???
 
  • #3
92
0
is that not?
 
  • #4
92
0
is the answer any number... because with everynumber, there is a different solution to x and y?... probably true?
 
  • #5
92
0
ohkay... i think i got the answer... h cannot be 15, because than it will be

1 -3 -2
0 0 3
this show that it will be inconsistent...
 
  • #6
HallsofIvy
Science Advisor
Homework Helper
41,847
966
No, you've "lost a sign". The row reduction of
[tex]\left[\begin{array}{ccc}1 & -3 & -2 \\ 5 & h & 7\end{array}\right][/tex]
is
[tex]\left[\begin{array}{ccc}1 & -3 & 2\\ 0 &h+ 15 & 3\end{array}\right][/tex]

What must h be so that is inconsistent?
 

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