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If a set contains fewer vectors than there are entries in the vectors, then the set is linearly independent.

A. True
B. False

1 Answer

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Final answer:

If a set contains fewer vectors than there are entries in the vectors, then the set is not linearly independent.

Step-by-step explanation:

A set with fewer vectors than there are entries in the vectors is called an underdetermined system, and it is not linearly independent. A set of vectors is linearly independent if none of the vectors in the set can be expressed as a linear combination of the others. In an underdetermined system, there are more unknowns than equations, so there are infinitely many solutions, meaning the system is dependent and not independent.

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