profile-img
Vijay posted an Question
April 11, 2021 • 14:05 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Please send the solution to the problem given in the attachment.

please send the solution to the problem given in the attachment.

1 Answer(s) Answer Now
  • 2 Likes
  • 2 Comments
  • 0 Shares
  • comment-profile-img>
    Deepak singh 1 Best Answer

    Refer attached answer is 3

    cropped994570658464742459.jpg
    eduncle-logo-app

    sir, what does the basis of ker G me@n?

    eduncle-logo-app

    and also tell me where have I made a mistake.

    eduncle-logo-app

    kerG contains that element of domain such that G(x,y,z)= (0,0,0)

    eduncle-logo-app

    you have also done correct , at last just make basis , you will get answer 3

    eduncle-logo-app

    but it doesn't match w/ yours.

    eduncle-logo-app

    wait .

    eduncle-logo-app

    you have not uploaded it yet, just reminding you in case you forgot.

    eduncle-logo-app

    yes , I forgot .. after your last step , do in this way..

    eduncle-logo-app

    why you factored -y, you could also have factored y?

    eduncle-logo-app

    firstly , y is acting as scalars , so -y can also be factored .. and secondly , Answer should be x=+3,-3 in this case . In question they should mention about x (whether x non -negative or negative etc ). Because (3,-1,1) and (-3,1,-1) both are basis .

    eduncle-logo-app

    can you share solution , if you have ?

    eduncle-logo-app

    sure

    eduncle-logo-app

    see

    eduncle-logo-app

    if we set z=-1 , then answer is -3 .

    eduncle-logo-app

    framing of question is not well.. x may be +3 or -3 here.

    eduncle-logo-app

    if such type of question comes in jam , they will give options like x=3 or -3 etc..

    eduncle-logo-app

    in MSQ right?

    eduncle-logo-app

    yes..in any way..

  • comment-profile-img>
    Sonu saini

    your answer is correct, x can take any value except zero

    eduncle-logo-app

    why not zero?

    eduncle-logo-app

    since if you take zero , basis should be(0,0,0) and zero vector is only basis of zero space ...but here your kernel is not zero space hence you can't take zero

    eduncle-logo-app

    any doubt you can ask

    eduncle-logo-app

    how come the answer is 3?

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