Which of the following is not true about the determinant of a matrix? (a) The determinant of a matrix is zero if and only if the rows (or columns) of the matrix form a linearly dependent set. (b) A square matrix is invertible if and only if its determinant is nonzero. (c) The determinant of a triangular matrix is the product of its diagonal elements. (d) A singular symmetric matrix has determinant greater than zero