Coeffcient Data and Existence and Uniqueness of Solutions. Assuming that a (not equal to) 0, and an equation that restricts a; b; c; d so
that the following system has only the trivial solution.
(1) ax1 + bx2 = 0
(2) cx1 + dx2 = 0
Hint: Find the echelon form of the associated matrix equation and from this echelon form and a relation/rule involving a; b; c; d so that the
augmented matrix has as many pivots as variables. If you have taken the determinant of 2 x 2 matrices then you can check your work.
The Attempt at a Solution
I have no idea how to do this problem, I'm not completely sure what its asking of me. If someone could guide me through it that would really help.