Please rate and comment. I want to improve; constructive criticism is highly appreciated. Please take style into account as well. Proof of uniqueness of identity element of addition of vector space

Oct 28, 2015 · Since it is closed under addition, has an additive identity, and has additive inverses for each element, this forms a group. Given a suitable definition for scalar multiplication (where it …

Mar 5, 2014 · The reason 0 0 is the additive identity in a lot of different structures is because that's just what we call the additive identity. You're right in saying that, in your matrix example, that isn't the …

Sep 24, 2015 · As @Batman explains, the zero vector of a vector space always is the additive identity of this vector space. I suspect your professor could have meant that the zero vector of a vector space …

May 24, 2019 · From (P2) (P 2), we are shown that there exists an additive identity. When we prove that there exists a number x = 0 x = 0 that satisfies a + x = a a + x = a for any number a a, is this the …

May 24, 2016 · How do I prove the uniqueness of additive identity? Ask Question Asked 9 years, 8 months ago Modified 3 years, 7 months ago

Nov 17, 2017 · Is it about the additive identity being the only element with no multiplicative inverse? To be honest it's the only thing that comes to mind but it still doesn't tell me why it should be like that.

May 26, 2025 · Answer: Yes, the additive identity for whole numbers is 0. Explanation: The additive identity is a number which, when added to any number, does not change its value. For whole …

Mar 9, 2022 · now we know that the additive identity is unique. we can prove that a = b = 0 a = b = 0 by subbing 0 for x into {1} eg: 0 + a = 0 0 + a = 0 thus a = 0 a = 0 thus concludes the proof.

Jan 18, 2015 · Explanation of additive identity and additive inverse in proving of vector space. Ask Question Asked 10 years, 10 months ago Modified 10 years, 1 month ago