The given statement is false. The option for the reason is the first option:
" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."
A system of linear equations is a grouping of one or more linear equations with the same variables.
A linear system solution is the assignment of values to variables in such a way that all of the equations are concurrently fulfilled.
For a system of equations, three types of solutions exist:-
- One solution: When the lines (planes) intersect at a point.
- No Solution: When the lines (planes) are parallel.
- Infinitely many solutions: When the lines (planes) overlap each other.
Thus, the given statement is false. The option for the reason is the first option:
" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."
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