7. Span, Linear Independence, Basis, and Dimension

Basis — Quiz

Test your understanding of basis with 5 practice questions.

Practice Questions

Question 1

Which statement best defines a basis for a vector space $V$?

Question 2

What is the standard basis for $\mathbb{R}^2$?

Question 3

How many vectors are in any basis of $\mathbb{R}^3$?

Question 4

Which set cannot be a basis because it contains the zero vector?

Question 5

If a set of vectors is linearly independent and spans a vector space $V$, what is it called?