OOPS I MESSED UP THE TITLE CAN ANY1 TELL ME HOW I CAN CHANGE IT?

Let , and consider the following subsets of V.

a) For each of the 8 sets sat whether it is a subspace, and briefly explain your answer.

b) For each of the 8 sets, classify it as one of

i. A line passing through the origin.

ii. A line not passing through the origin.

iii. A plane passing through the origin.

iv. A plane not passing through the origin.

v. none of the above

c) What do you conclude about the subspaces of ?