A and B are n×nn×n matrices. Mark each statement True or False.
Justify your answer.
a. A row replacement operation does not affect the determinant of a matrix.
b. The determinant of A is the product of the pivots in any echelon form U of A, multiplied by (−1)r(−1)r, where r is the number of row interchanges made during row reduction from A to U.
c. If the columns of A are linearly dependent, then det A=0.
d. det (A+B)=det A+det B.