# linearly dependent set of three vectors

What is an example of a linearly dependent set of three vectors with the property that any single vector can be removed from the set without changing the span of the set?

What is an example of a linearly dependent set of three vectors that does not have the property as Question above?

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#### Solution Preview

1) What is an example of a linearly dependent set of three vectors with the property that any single vector can be removed from the set without changing the span of the set?

Here is an example (we can only consider 3-dimensional vectors):

u=(1, 2, 3); ...

#### Solution Summary

A linearly dependent set of three vectors is examined.

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