Vector Space Inverse Axiom (Lin Alg)

Algebra
Tutor: None Selected Time limit: 1 Day

The negative of 0 in any given vector space is (−1)0. 

This statement is true. Can anyone explain why. Is it because the negative of anything is determined by the inverse axiom, so the negative of y is (-1)y and the negative of -1 is (-1)-1?

Jan 26th, 2015

The reason is that scalar multiplication is involved in finding the negative vector - and it does not matter whether it is 1 *0 or -1 *0 , the answer is still 0: the zero vector is its own negative.

Jan 26th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jan 26th, 2015
...
Jan 26th, 2015
Mar 29th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer