Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Sudhanshu Ranjan posted an Question
September 01, 2020 • 06:47 am
![]()
30 points
30 points
- CSIR NET
- Mathematical Sciences
Let v be the inner product space. what is orthogonal complement of v?
let V be the inner product space. what is orthogonal complement of V?
2 Answer(s)
Answer Now
- 0 Likes
- 2 Comments
- 0 Shares
Do You Want Better RANK in Your Exam?
Start Your Preparations with Eduncle’s FREE Study Material
- Updated Syllabus, Paper Pattern & Full Exam Details
- Sample Theory of Most Important Topic
- Model Test Paper with Detailed Solutions
- Last 5 Years Question Papers & Answers
Sign Up to Download FREE Study Material Worth Rs. 500/-
Shashi ranjan sinha Best Answer
let U be orthogonal complement of V. 1) Zero subspace is subset of U, since U is a vector space. 2) conversely, let x € U. Then, x belongs to V such that = 0, for all y in V, that is x is orthogonal to each vector of V. But we know that zero vector is the only such vector. So, x = 0. hence, this enforces U is contained in {0}. From 1) &2), U = zero space