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Let A be a 3 × 3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?
Correct answer is '4'. Can you explain this answer?
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Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then ...
Eigenvalues of A = 1, –1 and 0
Then, the eigenvalues of A100 are 1100, (–1)100 and (0)100.
i.e. 1, +1 and 0
And the eigenvalues of I + A100 are 1 + 1, 1 + 1 and 1 + 0.
i.e. 2, 2 and 1
Or |I + A100| = 2 × 2 × 1 = 4
Then, the eigenvalues of A100 are 1100, (–1)100 and (0)100.
i.e. 1, +1 and 0
And the eigenvalues of I + A100 are 1 + 1, 1 + 1 and 1 + 0.
i.e. 2, 2 and 1
Or |I + A100| = 2 × 2 × 1 = 4
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Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?Correct answer is '4'. Can you explain this answer?
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Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?Correct answer is '4'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?Correct answer is '4'. Can you explain this answer?.
Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?Correct answer is '4'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be a 3×3 matrix with eigenvalues, 1, –1 and 0. Then what is the determinant of I + A100?Correct answer is '4'. Can you explain this answer?.
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