Find all Values of h for which a System of Linear Equations has No Solution

[ts21121]

Homework Statement

for the system of linear questions given as
l 2 1 -5 l l x l= l 1 l
l -1 -3 h l l y l= l 2 l Find all values for h for which the system will have no solution
l -3 2 6 l l z l= l 3 l

Homework Equations

The Attempt at a Solution

 

[Char. Limit]

Try making that into an augmented matrix, then finding what values of h will make the system inconsistent. A hint: What makes an augmented matrix inconsistent?

 

[ts21121]

okay i have gotten it down to

2 1 -3 1
0 7 -3 9
0 0 (-50+14h) 80

where do i go from here?

thanks

 

[Char. Limit]

Well, you know from there that 14h-50 = 80. So solve that for h and you'll have the solutions such that it's consistent, at least I think so.