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Which of the following is **true**?

a) The product of the eigenvalues of a matrix is equal to the trace of the matrix

b) The eigenvalues of a skew-symmetric matrix are real

c) A is a nonzero column matrix and B is a nonzero row matrix, then the rank of AB is one

d) A system of linear non-homogeneous equations is consistent if and only if the rank of the coefficient matrix is less than or equal to the rank of the augmented matrix

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