8. Abstract Vector Spaces and Subspaces

Subspace Criteria — Quiz

Test your understanding of subspace criteria with 5 practice questions.

Practice Questions

Question 1

What are the three requirements for a subset $W$ to be a subspace of a vector space $V$?

Question 2

Which of the following sets is a subspace of $\mathbb{R}^2$?

Question 3

Is the set $\{0\}$ a subspace of any vector space?

Question 4

Which set is a subspace of $\mathbb{R}^3$?

Question 5

Which set is a subspace of $P_2$?