Discussion
For a singular square matrix :
Answer: C
For a singular matrix the determinant is equal to zero.
A square matrix is singular exactly when its determinant is 0. Its rows (or columns) are then linearly dependent, it has no inverse, and a system of equations with this coefficient matrix has either no solution or infinitely many.
A non-zero determinant, positive or negative, means the matrix is non-singular and invertible, so 'greater than zero', 'less than zero' and 'all of the above' are wrong.
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