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2 votes
Can an underdetermined linear system have no solution?
1) True
2) False

User Timaayy
by
8.9k points

1 Answer

5 votes

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.

User Kousen
by
7.6k points
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