7. Span, Linear Independence, Basis, and Dimension

Dimension — Quiz

Test your understanding of dimension with 5 practice questions.

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Practice Questions

Question 1

What does the dimension of a vector space measure?

Question 2

What is the dimension of $\mathbb{R}^3$?

Question 3

What is the dimension of the zero vector space $\{0\}$?

Question 4

A vector space has a basis with $4$ vectors. What is its dimension?

Question 5

If a subspace has a basis $\{v_1,v_2\}$, what is its dimension?