Thread: 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.

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


2

x + 4z = −2
−x + 2y − 3z = 4

x + 2y + z = k

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

Originally Posted by davidbooth

What have you done so far? You should at least be able to row reduce.

not sure how to go about that