Hey everyone, I have 4 questions which I know is a lot to ask but would really appreciate the answers to. Just open the link and click to zoom.
Thanks!
http://img251.yfrog.com/img251/56/15671906.png
Hey everyone, I have 4 questions which I know is a lot to ask but would really appreciate the answers to. Just open the link and click to zoom.
Thanks!
http://img251.yfrog.com/img251/56/15671906.png
17. The system is consistent as long as the equations are not scalar multiples of each other.
Notice that the first row:
$\displaystyle 2x + 3y = h$
is the same as
$\displaystyle 4x + 6y = 2h$.
So we can not let $\displaystyle 2h = 7$.
What value of $\displaystyle h$ can we not have?
Then what values of $\displaystyle h$ can we have?
That's not exactly true. The system is consistent as long as no equation is a linear combination of the others- that may be what you meant by "scalar multiples". Certainly, if one is a multiple of another, that is a "linear combination". so it works for this problem.
Notice that the first row:
$\displaystyle 2x + 3y = h$
is the same as
$\displaystyle 4x + 6y = 2h$.
So we can not let $\displaystyle 2h = 7$.
What value of $\displaystyle h$ can we not have?
Then what values of $\displaystyle h$ can we have?