17. The system is consistent as long as the equations are not scalar multiples of each other.
Notice that the first row:
is the same as
.
So we can not let .
What value of can we not have?
Then what values of can we have?
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
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:
is the same as
.
So we can not let .
What value of can we not have?
Then what values of can we have?