Enter T or F depending on whether the statement is true or false. (You must enter T or F -- True and False will not work.)

 1. If an augmented matrix in reduced row-echelon form has 2 rows and 3 columns (to the left of the vertical bar), then the system has infinitely many solutions.
 2. If the number of rows of an augmented matrix in reduced row-echelon form is greater than the number of columns (to the left of the vertical bar), then the system has infinitely many solutions.
 3. If the bottom row of a matrix in reduced row-echelon form contains all 0's, then the system has infinitely many solutions.