Given 3 simultaneous equations with 3 unknowns each, how do i determine if they have 0, 1, or infinite sets of solutions? I know how to convert the equations into reduced echelon form, if it helps. Thanks.
Name:
Anonymous2008-09-27 6:29
Think about it GEOMETRICALLY ASSHAT
You have 3 planes.
If the three normals are all unique then you have one solution
If there are two or more normals that are the same you have infinite or zero solutions.
To see if there are infinite solutions check if the planes are identical.
If they are not identical than there are no solutions.