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Linear Algebra

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What Is an Underdetermined Linear System?

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Suppose that a system of linear equations is underdetermined. Which of the following MUST be true about the system? Select ALL that apply.

A

The system is consistent.

B

The system is inconsistent.

C

There are more variables in the system than there are equations.

D

There are more equations in the system than there are variables.

E

If the system is consistent, then it has infinitely many solutions.

F

If the system is consistent, then it has exactly one solution.

G

None of the above.