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If the product of eigenvalues of the matrix
A =
is −8, then the value of k will be:
A =
is −8, then the value of k will be:Correct answer is '3'. Can you explain this answer?
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Most Upvoted Answer
If the product of eigenvalues of the matrixA =is −8, then the va...
Given,
We know that;
Det (A) = product of eigen values
⇒ 1 × (10 − 2 × k) − 2 × (6 − 2) − (3 × k − 5) = −8
⇒ 10 − 2k − 8 − 3k + 5 = −8
⇒ 7 − 5k = −8
⇒ 7 + 8 = 5k
⇒ 15 = 5k
⇒ k = 3
Hence, the correct answer is 3.
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Community Answer
If the product of eigenvalues of the matrixA =is −8, then the va...
Given,
We know that;
Det (A) = product of eigen values
⇒ 1 × (10 − 2 × k) − 2 × (6 − 2) − (3 × k − 5) = −8
⇒ 10 − 2k − 8 − 3k + 5 = −8
⇒ 7 − 5k = −8
⇒ 7 + 8 = 5k
⇒ 15 = 5k
⇒ k = 3
Hence, the correct answer is 3.
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If the product of eigenvalues of the matrixA =is −8, then the value of k will be:Correct answer is '3'. Can you explain this answer?
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