7. Span, Linear Independence, Basis, and Dimension

Linear Dependence And Independence — Quiz

Test your understanding of linear dependence and independence with 5 practice questions.

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

How many vectors in $\mathbb R^2$ can be linearly independent at most?

Question 4

Which set is linearly independent in $\mathbb R^2$?

Question 5

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