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Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 is
- a)6
- b)4
- c)9
- d)100
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the deter...
Eigenvalues of (I + A100) is 1 + λ100
i e . l + 1 , 1 + 1,0 + 1
i.e.2,2,1
So, determinant of I + A100 is product of eigenvalues i. e. 4
i e . l + 1 , 1 + 1,0 + 1
i.e.2,2,1
So, determinant of I + A100 is product of eigenvalues i. e. 4
Most Upvoted Answer
Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the deter...
2, and 3. The determinant of A is the product of its eigenvalues, so the determinant of A is 1 * 2 * 3 = 6.
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Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 isa)6b)4c)9d)100Correct answer is option 'B'. Can you explain this answer?
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Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 isa)6b)4c)9d)100Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 isa)6b)4c)9d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 isa)6b)4c)9d)100Correct answer is option 'B'. Can you explain this answer?.
Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 isa)6b)4c)9d)100Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 isa)6b)4c)9d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be a 3 x 3 matrix with eigenvalues 1, —1,0. Then the determinant of I + A100 isa)6b)4c)9d)100Correct answer is option 'B'. Can you explain this answer?.
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