>
>
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)
Aditi Agrawal posted an Question
June 03, 2020 • 22:59 pm
![]()
30 points
30 points
- IIT JAM
- Physics (PH)
Which theorem is used here
according to linear independence of eigen vectors c1x1 + c2x2 ..... =0. ???
3 Answer(s)
Answer Now
- 0 Likes
- 4 Comments
- 0 Shares
-
![comment-profile-img]()
>
-
![comment-profile-img]()
>
Abhishek singh Best Answer
okay, here we used the concept of completeness. in simple language, you can understand this as follows.... in 2D space, we can write any vector in i cap or j cap form right. similarly in 3D space, you can write any vector in i cap, j cap and k cap form.
-
![comment-profile-img]()
>
Ruby negi
![best-answer]()
linear combination is must*
-
![comment-profile-img]()
>
Ruby negi
this is not any therorm, only a statement that a eigen vector is a combination of other two eigen vectors that's why it is written (by red colour) x3=cx1+bx2. only you are proving that a vector is linear combination of other two..
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/-
Abhishek singh![best-answer]()
that's why, here also they have two eigenvectors, it mean for a 2 dimensional space, you can write any eigen vector in the form of(or in linear combination of) those two orthogonal Eigen vector.