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Linear Algebra

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What is a Homogeneous System?

LINALG-F2OFHY

If a linear system is homogeneous, 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

The system has one and only one solution.

D

The system has infinitely many solutions.

E

The zero vector is a solution to the system.

F

The zero vector is the only solution to the system.