# Spanning sets and vectors

Solving problems on spanning sets

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:06 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/spanning-sets-and-vectors-2074

#### Solution Preview

#12 a) We will not have a spanning set of V because one of two things can happen: i) x(k+1) is linearly dependent of the spanning set or ii) x(k+1) is linearly independent.

If it is i) then by definition, x(k+1) is not a member of the spanning set of V (all members must be linearly independent of each other).

On the other ...

#### Solution Summary

These solves several problems regarding the addition and deletion of vectors from spanning sets.

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