If B Is a Basis, Then

question 26

True/False

If B is a basis, then
for all scalars

,
and all vectors

,
in span (B).

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Definitions:

Desire

A strong feeling of wanting to have something or wishing for something to happen.

Generalization

The process or method of formulating general concepts by abstracting common properties of specific instances.

Specific Conclusion

A definite and detailed end statement in an argument or presentation, drawn from the information and analysis provided beforehand.

Deduction

The process of reasoning from general principles to specific conclusions, or the elimination of possible causes until only one remains.