# Math Help - Matrix Questions

1. ## Matrix Questions

Consider the system of simultaneous equations:

.
(a) Give the augmented matrix for this system.

(b) Use standard Gaussian elimination on this augmented matrix so that the pivot rows are of the form

where entries marked with a star are to be determined. Enter the matrix of pivot rows below.

(c) Hence find the solutions of the original system for x, y, z.

2. Originally Posted by mr_motivator
Consider the system of simultaneous equations:

.
(a) Give the augmented matrix for this system.
Just the matrix with 3 rows and 4 columns, the first three columns being the coefficients of x, y, and z, and the fourth column the right hand side:
$\begin{bmatrix}-3 & -1 & -2 & 2 \\ \frac{3}{5} & \frac{11}{5} & -\frac{13}{5} & \frac{12}{5} \\ -9 & -13 & 11 & 17\end{bmatrix}$
I am puzzled by this. If you are expected to be able to do problems like (b) and (c) here, surely you should know what an "augmented matrix" is.

(b) Use standard Gaussian elimination on this augmented matrix so that the pivot rows are of the form

where entries marked with a star are to be determined. Enter the matrix of pivot rows below.

(c) Hence find the solutions of the original system for x, y, z.[/QUOTE]