profile-img
Sudhanshu Ranjan posted an Question
September 01, 2020 • 06:53 am 30 points
  • CSIR NET
  • Mathematical Sciences

Let v be the inner product space. what is orthogonal complement of 0?

let V be the inner product space. what is orthogonal complement of 0?

2 Answer(s) Answer Now
  • 0 Likes
  • 4 Comments
  • 0 Shares
  • Shashi ranjan sinha Best Answer

    Let U be the orthogonal complement of zero subspace. Then, U is subset of V clearly. let x belongs to V. Then = 0 implies x is in U. thus, V is subset of U. From, Both side inclusion, it follows that U = V

  • comment-profile-img>
    Satpal singh

    is it zero vector

    eduncle-logo-app

    the whole space will be its orthogonal complement

    eduncle-logo-app

    bcoz inner product of every vector with a zero vector is zero

whatsapp-btn

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