An ordered triple is a set of three numbers written in a specific order, usually representing the solution to a system of three linear equations. It is generally denoted as $(x, y, z)$.
5 Must Know Facts For Your Next Test
An ordered triple represents coordinates in three-dimensional space.
It is used to find the point where three planes intersect.
Solving for an ordered triple often involves methods like substitution, elimination, or matrix operations such as Gaussian elimination.
Inconsistent systems have no solution, meaning no ordered triple satisfies all equations simultaneously.
Dependent systems have infinitely many solutions lying on a line or plane where all equations are satisfied.