IIT JAM & CSIR NET - Chemical Sciences

Coordination Chemistry & Organometallics question bank (Inorganic Chemistry & Coordination Compounds)

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Q1.
[Inorganic Chemistry & Coordination Compounds Problem #2] Regarding eigenvalues of a real symmetric matrix A: Which of the following analytical formulations is correct?

(A)
All eigenvalues are strictly real, and eigenvectors from distinct eigenvalues are orthogonal
(B)
The matrix cannot be diagonalized under any orthogonal transformation
(C)
Eigenvalues must always be positive integers
(D)
All eigenvalues are pure imaginary
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Q2.
[Inorganic Chemistry & Coordination Compounds Problem #4] Regarding eigenvalues of a real symmetric matrix A: Which of the following analytical formulations is correct?

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