Final answer:
An underdetermined linear system can have no solution.
Step-by-step explanation:
An underdetermined linear system can have no solution.
A system of linear equations is called underdetermined if there are more variables than equations. In this case, there are infinite possible solutions or no solutions.
For example, consider the system:
x + y = 5
2x + 2y = 10
This system is underdetermined because there are two variables (x and y) but only two equations. By subtracting the first equation from the second equation, you get 0 = 0, which means the system has infinitely many solutions.
Therefore, the statement False and the correct answer is option 1) True.