Chapter 11, Problem 5CT

To determine

To find: The augment matrix of expression $\left\{\begin{array}{c}4x-5y+z=0\\ -2x-y+6=-19\\ x+5y-5z=10\end{array}\right\}$ .

Answer to Problem 5CT

The augment matrix is $\left(\begin{array}{l}0\\ -19\\ 10\end{array}\right)$ .

Explanation of Solution

Given information:

The given equation is $\left\{\begin{array}{c}4x-5y+z=0\\ -2x-y+6=-19\\ x+5y-5z=10\end{array}\right\}$

Calculation:

Calculate the expression,

  $\left\{\begin{array}{c}4x-5y+z=0\\ -2x-y+6=-19\\ x+5y-5z=10\end{array}\right\}$

In writing an argument matrix, the coefficients are written on the left side the constant are written on the right side of the vertical bar.

The augmented matrix is $\left(\begin{array}{ccc}4& -5& 1\\ -2& -1& 6\\ 1& 5& -5\end{array}\right)\left(\begin{array}{l}0\\ -19\\ 10\end{array}\right)$ .

Therefore, the matrix is $\left(\begin{array}{l}0\\ -19\\ 10\end{array}\right)$ .