Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >   real valued square symmetric matrix of rankC... Start Learning for Free
real valued square symmetric matrix of rank Consider the following statements.
(I) One eigenvalue must be in
(II) The eigenvalue with the largest magnitude must be strictly greater than 5
Which of the above statements about eigenvalues of  is/are necessarily CORRECT?
  • a)
    Both (I) and (II)
  • b)
    (I) only
  • c)
    (II) only
  • d)
    Neither (I) nor (II)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
real valued square symmetric matrix of rankConsider the following sta...
Eigen values of   Therefore second statement is false.
Since the rank of matrix  is 2, therefore atleast one eigen value would be zero for n>3.
For n= 2,  It can be proven that

Both  λ1 and λ2  would be real because  is a real symmetric matrix. Which implies that atleast one eigen value would be in
Now, to prove  matrix, let us consider the matrix is  is the eigen value
of this matrix.


(For real  symmetric matrix, b=c and < would be replaced by equal sign)
View all questions of this test
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer?
Question Description
real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer?.
Solutions for real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice real valued square symmetric matrix of rankConsider the following statements.(I) One eigenvalue must be in (II) The eigenvalue with the largest magnitude must be strictly greater than 5Which of the above statements about eigenvalues of is/are necessarily CORRECT?a)Both (I) and (II)b)(I) onlyc)(II) onlyd)Neither (I) nor (II)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev