Trivial solution的意思

"Trivial solution" is a term used in mathematics, particularly in the context of solving equations or systems of equations. A trivial solution refers to a solution that is the most basic or simplest possible, often meaning that the solution is either the zero vector (in the context of linear algebra) or a constant solution where all variables are set to zero.

For example, in the equation ax + b = 0, the trivial solution is x = 0. In a system of linear equations, if one of the equations is a linear combination of the others, then the solution where all variables are zero is considered a trivial solution.

The term "trivial" in this context implies that the solution is the simplest or most obvious, and it does not provide any additional information or insight beyond the basic structure of the problem itself.