Early homework for Wednesday, September 4
If you submitted these by 5:00 pm Wednesday, you don't have to turn
in
problems 5, 11, or 20 from section 1.1 or problems 2c or 4 from
section 1.2 in section on Thursday.
Solutions to these problems are here:.txt,.ps,.pdf
Question 1:
Consider the system of equations:
x1+3x2+3x3-2x4=13
-2x1+x2-x3+2x4=-2
-x1-4x2-2x4=17
-x1-x2-4x3+5x4=34
Write down the augmented matrix for this system.
(Note: You do not have to solve the system.)
Question 2:
| Let M= |
| 1 | 4 | -3 | -3 | -27 |
| 1 | 5 | -1 | -4 | -22 |
| -3 | 1 | 5 | -4 | 26 |
|
. |
Reduce M to echelon form. Label every step in the reduction.
(Note:It's not necessary to continue the reduction until M
reaches reduced echelon form.)
Question 3:
Suppose that M is the augmented matrix for some linear system. How
many solutions does it have? Justify your answer. (One or two
sentences should suffice.)