Computer Sciences > GATE 2014 SET-3 > Linear Algebra
Which one of the following statements is TRUE about every n x n matrix with only real eigenvalues?
A
If the trace of the matrix is positive and the determinant of the matrix is negative, at least one of its eigenvalues is negative.
B
If the trace of the matrix is positive, all its eigenvalues are positive.
C
If the determinant of the matrix is positive, all its eigenvalues are positive.
D
If the product of the trace and determinant of the matrix is positive, all its eigenvalues are positive.

Correct : a

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