IIT JAM
   Top Resources
Divam Kumar posted an Question
December 03, 2020 • 19:04 pm 30 points
  • IIT JAM
  • Mathematics (MA)

65. let f (x) and g(x) be two non-zero polynomials over an arbitrary ring r. then which is true ? a) deg s()+s()]= deg.s(e) + deg g (=) ) des[()+g()]s mar[ deg

65. Let f (x) and g(x) be two non-zero polynomials over an arbitrary ring R. Then which is true ? A) deg S()+s()]= deg.S(e) + deg g (=) ) des[()+g()]s Mar[ deg / (w), deg s( (C) deg[()+ 8()]= Mar[ deg f(:), dog s()] (D) None of these 66. Let W be a subspace of the space R'. If dim W=0, then W is a: (A) line through the origin 5) plane through the origin (C) entire space R (D) point 67, The square matrIx A and its transpose have the . eigen values. A) same (B) different unique (D) None of these 68. Let Q be the set of ratipnal numbers. Then Q (V3 a+ b3 : a,b eQ is a vector space over Q with dimension A) (B) 2 (C) 3 (D) 4 69. Let T:U >V be a linear transformation from an n dimensional vector space U) to a Vector space v (F), then (A) dim N(T) + dim R (T)=0 (B) dim N(T) + dim R (T) = 2n (C) dim N(T) + dim R (T) =* (D) dim N (T)+ dim R (T) = n

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

Sign Up to Download FREE Study Material Worth Rs. 500/-