# Math Help - matrix

1. ## matrix

2
x + 4z = 2

x + 2y 3z = 4

x + 2y + z = k

Row-reduce the augmented matrix for the given system and then answer each of the following questions.
(a) For what value(s) of
k does the system of linear equations have a unique solution?
(b) For what value(s) of
k does the system of linear equations have no solution?
(c) For what value(s) of
k does the system of linear equations have infinitely many solutions?

(d) For
k where the system has infinitely many solutions, solve the system.

2. sorry it shows up weird on the screen it's:

2
x + 4z = 2
x + 2y 3z = 4

x + 2y + z = k

3. 2x + 4z= -2
-x + 2y -3z = 4
x + 2y + z = k

4. Originally Posted by davidbooth
$\left\{\begin{array}{rcrcrcr}
2x&&&+&4z&=&-2\\
-x&+&2y&-&3z&=&4\\
x&+&2y&+&z&=&k
\end{array}\right.$
What have you done so far? You should at least be able to row reduce.

5. not sure how to go about that