Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > If the sum of the diagonal elements of a 2 &t...
Start Learning for Free
If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.
Correct answer is '9'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the sum of the diagonal elements of a 2 × 2 matrix is -6, the...
Most Upvoted Answer
If the sum of the diagonal elements of a 2 × 2 matrix is -6, the...
We know that
sum of eigen values = sum of diagonal elements of a matrix.
product of eigen values = determinant of the matrix.
so, sum of eigen values = -6.As the given matrix is a 2×2 matrix , its order is 2, so the number of eigen values is two, i.e. e1 and e2.
e1 + e2 = -6.
let us assume e1 = -0 & e2 = -6, det = 0. e1 = -1 & e2 = -5 , det = 5. e1 = -2 & e2 = -4, det = 8. e1 = -3 & e2 = -3, det = 9. e1 = -4 & e2 = -2 , det = 8. e1 = -5 & e2 = -1, det = 5.so the maximum value of the determinant is 9.
sum of eigen values = sum of diagonal elements of a matrix.
product of eigen values = determinant of the matrix.
so, sum of eigen values = -6.As the given matrix is a 2×2 matrix , its order is 2, so the number of eigen values is two, i.e. e1 and e2.
e1 + e2 = -6.
let us assume e1 = -0 & e2 = -6, det = 0. e1 = -1 & e2 = -5 , det = 5. e1 = -2 & e2 = -4, det = 8. e1 = -3 & e2 = -3, det = 9. e1 = -4 & e2 = -2 , det = 8. e1 = -5 & e2 = -1, det = 5.so the maximum value of the determinant is 9.
Free Test
FREE
| Start Free Test |
Community Answer
If the sum of the diagonal elements of a 2 × 2 matrix is -6, the...
If the sum of the diagonal elements of a 2x2 matrix is 10, then the two diagonal elements must add up to 10.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer?
Question Description
If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer?.
If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer?.
Solutions for If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer?, a detailed solution for If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? has been provided alongside types of If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.Correct answer is '9'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) 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