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Engineering Mathematics
Linear Algebra
GATE 2011
Easy

Eigenvalues of a real symmetric matrix are always

  • Apositive
  • Bnegative
  • real
  • Dcomplex

Explanation

A standard property of linear algebra: every real symmetric matrix has only real eigenvalues (and orthogonal eigenvectors), regardless of sign.

Source: GATE ME 2011 (2011)

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