3 Let B A b be the the augmented matrix of a linear system

3. Let B = [A b] be the the augmented matrix of a linear system. Determine which of the following is FALSE. a. if A has a pivot position in every row, then the system is consistent. b. If the last row of B does not have a pivot position, then the system is consistent. c. If the last column f B is a pivot column, then the system is inconsistent. d. Suppose that every column of A is a pivot column. If the system is consistent, then it has a unique solution. e. none of these.

Solution

(c)    and (d) are false