7. Span, Linear Independence, Basis, and Dimension

Testing Independence — Quiz

Test your understanding of testing independence with 5 practice questions.

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Practice Questions

Question 1

Which statement best describes a linearly independent set of vectors?

Question 2

What can you conclude about any set of vectors that contains the zero vector?

Question 3

In $\mathbb{R}^3$, any set of $4$ vectors must be what?

Question 4

Are the vectors $(1,0)$ and $(0,1)$ linearly independent or linearly dependent?

Question 5

If one vector in a set can be written as a linear combination of the others, then the set is what?