Answer
(a) The row-echelon form of an augmented matrix that corresponds to a linear system
that is inconsistent must have a row containing the leading 1 in the last place in that row.
(b) The row-echelon form of an augmented matrix that corresponds to a linear system that has infinitely many solutions must have the property that:
the number of the non zero rows is less than the number of variables.
Work Step by Step
(a) The row-echelon form of an augmented matrix that corresponds to a linear system
that is inconsistent must have a row containing the leading 1 in the last place in that row.
(b) The row-echelon form of an augmented matrix that corresponds to a linear system that has infinitely many solutions must have the property that:
the number of the non zero rows is less than the number of variables.
