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Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are - 1 and 7. What are the values of a and b?
  • a)
    a = 6, b = 4
  • b)
    a = 4, b = 6
  • c)
    a = 3, b = 5
  • d)
    a = 5, b = 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following 2 × 2 matrix A where two elements are unk...
W.K.T.∑λ= ∑aii
∴ - 1 + 7 = 1 + a ⇒ a = 5
Also π λi = |A|
∴ - 1 × 7 = a – 4b
 - 7 = 5 – 4b ⇒ b = 3
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Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are - 1 and 7. What are the values of a and b?a)a = 6, b = 4b)a = 4, b = 6c)a = 3, b = 5d)a = 5, b = 3Correct answer is option 'D'. Can you explain this answer?
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Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are - 1 and 7. What are the values of a and b?a)a = 6, b = 4b)a = 4, b = 6c)a = 3, b = 5d)a = 5, b = 3Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are - 1 and 7. What are the values of a and b?a)a = 6, b = 4b)a = 4, b = 6c)a = 3, b = 5d)a = 5, b = 3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following 2 × 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are - 1 and 7. What are the values of a and b?a)a = 6, b = 4b)a = 4, b = 6c)a = 3, b = 5d)a = 5, b = 3Correct answer is option 'D'. Can you explain this answer?.
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