profile-img
Vijay posted an Question
June 24, 2022 • 20:37 pm 30 points
  • CSIR NET
  • Mathematical Sciences

The dimension of the vector space of all symmetric matrices of order nxn with real entries and trace equal to zero is t(+1) 2 (2) +1 () 2 nn +1+1 (4) 2

The dimension of the vector space of all symmetric matrices of order nxn with real entries and trace equal to zero is T(+1) 2 (2) +1 () 2 nn +1+1 (4) 2

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • comment-profile-img
    Navdeep goyal 1 Best Answer

    a11+a22+...+ann=0 a11=-(a22+a33+...ann) so dim 1 less but dim of symmetry matrix is n(n+1)/2 so options A

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