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## Homework Statement

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.

## Homework Equations

## 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.