(b)Thestatementisfalse. This statement is only true for invertible matrices since their determinants are not equal to zero. Since pivots are defined as the first nonzero entries in each of the rows of the row echelon form of a matrix, it follows that their product is also a nonzero number. Thus, determinant of a singular matrix can never be the product of its pivots multiplied by \(\displaystyle{\left(-{1}\right)}^{{{r}}}\), where r is the number of row interchanges made during its transformation to its row echelon form., (b) False