GATE CE 2026 Set 1 — Question 11
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Engineering Mathematics → Linear Algebra → Eigenvalues & Eigenvectors
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Question
Matrix is given asThe TRUE option is
Correct answer
(A) Trace of P is equal to the sum of the Eigen values of P.
Solution
The trace of any square matrix is defined as the sum of its diagonal elements. A fundamental property of matrices is that the trace is also equal to the sum of its eigenvalues. Thus, option (A) is always true. For the given matrix , Trace . The eigenvalues are , and their sum is .
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