Comment : Vector spaces quiz
Comment : This quiz is designed to test your knowledge of vector spaces and related concepts
Comment : such as linear combinations, bases, dimension, spanning, and linear dependence and independence.
Comment : For an extra challenge, try covering up the answers before attempting the question.

Question 1: Let V be an vector space, and let W be a subset of V. What does it mean when we say that W is closed under addition?


Whenever x and y are in V, then x+y is in V.
Whenever x and y are in W, then x+y is in V.
Whenever x and y are in W, then x+y is in W.
Whenever x and y are in V, then x+y is in W.
If x+y is in W, then x and y are in W.
W(x+y) = Wx + Wy for every two vectors x and y.
Every vector in W is the sum of two vectors in W.