GATE ME 2016 Set 2 — Question 11
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Engineering Mathematics → Linear Algebra → Eigenvalues & Eigenvectors
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Question
The condition for which the eigenvalues of the matrix are positive, is
Correct answer
(A) k 1/2
Solution
For the eigenvalues of a matrix to be positive, both the trace and the determinant must be positive.
1.Trace:
2.Determinant:
Combining these conditions, the more restrictive condition is .Continue learning with Success Tracker
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