profile-img
Deepak Patra posted an Question
November 14, 2021 • 13:55 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Consider the group homomorphism p: m,(r)> r given by p(a) = trace (4).the kernal of p is 1somor- phic to which ofthe following groups ? (a) m,(r) aem,(r): p(4)

Consider the group homomorphism p: M,(R)> R given by p(A) = trace (4).The kernal of p is 1somor- phic to which ofthe following groups ? (a) M,(R) AEM,(R): p(4) =0 (b) R R () GL,(R) IGATE-2014]

1 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • Malik

    c option is correct

    eduncle-logo-app

    please explain?

    eduncle-logo-app

    when u find its kernel u will get matrix ( a b c -a) 2x2 matrix here we dim of kernel is three and R^3 has dim 3️⃣ more over for option d we have only non singular matrix but here u can take zero matrix also

    eduncle-logo-app

    trace of kernel is zero (zero matrix has zero trace

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