Question: Can a vector space be isomorphic to one of its (proper) subspaces?

Can a vector space be isomorphic to one of its (proper) subspaces?

Step by Step Solution

3.53 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

No A proper subspace has a strictly lower dimens... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

961-M-L-A-L-S (5346).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!