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Which one of the following statements is TRUE about every

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.

asked in Linear Algebra by gate

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