Answer:
Nontrivial
A solution or example that is not trivial. Often, solutions or examples involving the number zero are considered trivial. Nonzero solutions or examples are considered nontrivial.
For example, the equation x + 5y = 0 has the trivial solution (0, 0). Nontrivial solutions include (5, –1) and (–2, 0.4).
And the system of equation in which the determinant of the coefficient matrix is not zero but the solution are x=y=z=0 is called trivial solution.
Explanation: