30 points
>
Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
Etagple 16. let t r r' be a linear map such that the null space of t is (( y,2, w) e r:x+ y+z+ w= 0} and the rank of (t -41,) is 3. ifthe minimal polynomial of
Etagple 16. Let T R R' be a linear map such that the null space of T is (( y,2, w) E R:x+ y+z+ w= 0} and the rank of (T -41,) is 3. Ifthe minimal polynomial of T is (GATE-2015) x(r-4)", then a is equal to .
3 Answer(s)
Answer Now
- 1 Likes
- 4 Comments
- 0 Shares
-
![comment-profile-img]()
>
Piyush pachauri
![best-answer]()
Any Doubt then you can ask.
-
![comment-profile-img]()
>
Piyush pachauri Best Answer
Correct answer is 1. My thinking process is that we have 2 Eigen values of T . And dim N(T) = 3 implies geometric multiplicity of 0 is 3 so A.M >=3 and similar G.M of 4 is 1 so A.M of 4 >= 1. from both the condition above AM = GM for both Eigen values because it can't exceed for any one Eigen value because that will result in AM
-
Anonymous User
![best-answer]()
See attachment below.
![cropped5563460618554307753.jpg]()
![cropped2562598951528806318.jpg]()
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/-
Anonymous User
what is wrong in my answer ??