IIT JAM & CSIR NET - Life Sciences & Biotechnology

Enzymology & Intermediary Metabolism question bank (Biochemistry & Plant/Animal Physiology)

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Q1.
[Biochemistry & Plant/Animal Physiology Problem #1] Regarding eigenvalues of a real symmetric matrix A: Which of the following analytical formulations is correct?

(A)
The matrix cannot be diagonalized under any orthogonal transformation
(B)
Eigenvalues must always be positive integers
(C)
All eigenvalues are pure imaginary
(D)
All eigenvalues are strictly real, and eigenvectors from distinct eigenvalues are orthogonal
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Q2.
[Biochemistry & Plant/Animal Physiology Problem #3] Regarding eigenvalues of a real symmetric matrix A: Which of the following analytical formulations is correct?

(A)
Eigenvalues must always be positive integers
(B)
The matrix cannot be diagonalized under any orthogonal transformation
(C)
All eigenvalues are strictly real, and eigenvectors from distinct eigenvalues are orthogonal
(D)
All eigenvalues are pure imaginary
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