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Find the Eigenvalues of matrix



  • a)
    8, 2

  • b)
    3, -3 

  • c)
    -3, -5 

  • d)
    5, 0

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find the Eigenvalues of matrixa)8, 2b)3, -3c)-3, -5d)5, 0Correct answe...
A - λI = 0
Now, After taking the determinant:
(4 - λ)2 - 1 = 0
16 + λ2 - 8λ - 1 = 0
λ2 - 8λ + 15 = 0
 - 3) (
λ
 - 5) = 0
λ
 = 3, 5
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Most Upvoted Answer
Find the Eigenvalues of matrixa)8, 2b)3, -3c)-3, -5d)5, 0Correct answe...
According to the property of the Eigenvalue, the eigenvalues are determined as follows: 
4 + 4 = 8 
3 + 5 = 8 
The sum of the Eigenvalues is equal to the sum of the principal diagonal elements of the matrix.
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Community Answer
Find the Eigenvalues of matrixa)8, 2b)3, -3c)-3, -5d)5, 0Correct answe...
A - λI = 0
Now, After taking the determinant:
(4 - λ)2 - 1 = 0
16 + λ2 - 8λ - 1 = 0
λ2 - 8λ + 15 = 0
 - 3) (
λ
 - 5) = 0
λ
 = 3, 5
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Find the Eigenvalues of matrixa)8, 2b)3, -3c)-3, -5d)5, 0Correct answer is option 'A'. Can you explain this answer?
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