Write the augmented matrix for the system.
-6x + 4y + 7z = 97 -2x + 8y + 6z = 54
6x + 5y + 3z = 72

Question

Quizplus · Accepted Answer

The augmented matrix for the system is:
$$\left[\begin{array}{ccc|c}
6 & 4 & 7 & 97 \
-2 & 8 & 6 & 54 \
6 & 5 & 3 & 72 \
\end{array}ight]$$

The correct answer is B, which matches the matrix above. The augmented matrix has the coefficients of the variables and the constants on the right-hand side. It can be obtained by writing the coefficients in a matrix and appending a column of constants. For the given system, the augmented matrix is:

[6   4   7   | 97]
[-2  8   6   | 54]
[6   5   3   | 72]

This matches choice B.

Write the Augmented Matrix for the System