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The eigen values of matrix A = are
  • a)
    ± 3√3
  • b)
    3, 1
  • c)
    - 1 ± 2 √7
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The eigen values of matrix A =area)± 3√3b)3, 1c)- 1 &plus...
From the property of Eigen values of Matrix we know
1. sum of eigen values = Trace of the matrix.
Trace of the matrix is sum of Principal diagonal elements.
So sum of P.D.E = 3+(-5) =-2
2. Product of Eigen values is equal to the determinant of the Matrix.
So determinant of the matrix= -27
Only option C satisfies the above two results. so option C is the answer
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The eigen values of matrix A =area)± 3√3b)3, 1c)- 1 &plus...
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The eigen values of matrix A =area)± 3√3b)3, 1c)- 1 ± 2 √7d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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