The question is as follows from the text: Linear Algebra Pictures, Linear Algebra Images, Linear Algebra Photos, Linear Algebra Videos - Image - TinyPic - Free Image Hosting, Photo Sharing & Video Hosting

"Find the coefficients a,b,c, and d so that the curve shown in the accompanying figure [a circle in the xy-plane that passes through the points (-4,5),(-2,7),(4,-3)] is given by the equation ax^{2}+ay^{2}+bx+cy+d=0"

What I've done so far is that I have used the given points and substituted them into the given equation thus giving me three equations and four unknowns:

- 41a-4b+5c+d=0
- 29a-2b+7c+d=0
- 25a+4b-3c+d=0

In which have then three equations into an augmented matrix and proceeded into putting it into a reduced row echelon form. While doing so, I realized that the numbers where quite off and that I was no further into the solution to the problem.

Please, if anybody, pinpoint where I went wrong and guide me toward the solution and why it is the solution.

Thanks so much.