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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?
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If the sum of the diagonal elements of a 2 × 2 matrix is -6, the...
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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.
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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.
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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?
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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?.
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