- #1
madah12
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Homework Statement
ax+by=k
cx+dy=l
ex+fy=m
If in Exercise 12 k=l=m=0, explain why the system must be consistent. What can be said about
the point of intersection of the three lines if the system has exactly one solution?
Homework Equations
The Attempt at a Solution
ofcourse the system is consisten because x,y=0 is always a solution
but for the second part
all i did was try to get it to reduced row echelon form and what i got is that in the last colum and last row
of augmented matrix m-(f(l-kc/a)/(d-bc/a))
so i said f=0 , l- kc/a = 0 , m-(f(l-kc/a)/(d-bc/a)) = 0 for there to be unique solution i don't know what that would mean about the point but most likely i did mistake in reduced row echelon because too many terms is there any other way to do this?
i know we must have a 0 because if not then 0x +0y = number which can't be
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