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For A symmetric n×n matrix, all eigenvalues are:
AREAL (spectral theorem for symmetric/Hermitian matrices)
BComplex
CNegative
DImaginary
Answer & Solution
Correct answer: A. REAL (spectral theorem for symmetric/Hermitian matrices)
Spectral theorem: real symmetric matrices have real eigenvalues and orthogonal eigenvectors. Foundation of PCA, quadratic forms, oscillation modes.
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