The given matrix is an augmented matrix representing a system of linear equations. Find the solution of the system.
A) , ,
B) , ,
C) , ,
D) , ,
E) , ,

Question

The given matrix is an augmented matrix representing a system of linear equations. Find the solution of the system. ​  ​
A) , , 
B) , , 
C) , , 
D) , , 
E) , ,

Quizplus · Accepted Answer

Using Gaussian elimination, we get the row echelon form of the augmented matrix as:
$$\begin{pmatrix}1&2&3&|&7\0&-1&-2&|&-5\0&0&1&|&3\end{pmatrix}$$
Using back substitution, we get:
$$x=4, y=3, z=3$$
Thus, the solution is:
$$\begin{pmatrix}4\3\3\end{pmatrix}$$
So, the correct choice is C.

The Given Matrix Is an Augmented Matrix Representing a System