IIT JAM Exam > IIT JAM Questions > If the eigen values of a square matrix be 1, ...
Start Learning for Free
If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A are
- a)1, - 2, 3
- b)3, - 6, 9
- c)1/3, - 2/3, 1
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the eigen values of a square matrix be 1, - 2 and 3, then the eigen...
Eigenvalues of a matrix and scalar multiplication
Given matrix A has eigenvalues 1, -2, and 3
We need to find the eigenvalues of the matrix 3A
To find the eigenvalues of 3A, we need to use the following formula:
If λ is an eigenvalue of A, then kλ is an eigenvalue of kA, where k is a scalar.
Therefore, the eigenvalues of 3A will be:
3(1) = 3
3(-2) = -6
3(3) = 9
Hence, the eigenvalues of the matrix 3A are 3, -6, and 9, which is option B.
Given matrix A has eigenvalues 1, -2, and 3
We need to find the eigenvalues of the matrix 3A
To find the eigenvalues of 3A, we need to use the following formula:
If λ is an eigenvalue of A, then kλ is an eigenvalue of kA, where k is a scalar.
Therefore, the eigenvalues of 3A will be:
3(1) = 3
3(-2) = -6
3(3) = 9
Hence, the eigenvalues of the matrix 3A are 3, -6, and 9, which is option B.
|
Explore Courses for IIT JAM exam
|
|
Similar IIT JAM Doubts
If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup