
Unique Solution
Hi a short one, I got everything except this last part.
Show that a unique solution exists for all other k. Find this solution.
I constructed a matrix from the equations
x+2y2z = 5
xy+3z =1
x7y+k = k
and found out that there will be infinite no of solutions when k =13
When k is not 13, the system will have a unique solution, but as the question asks, how am I supposed to show? And how do I find the value when they say all other values of k, it doesn't make snese to e because I can't possibly use all values exceept 13..
Thank you very much!

Re: Unique Solution
Hey Tutu.
Show that when k != 13 then the determinant of the matrix is nonzero and thus has an inverse (which means unique solution).
Have you come across determinants?