Solving for Matrices

Answer:
option A
[tex]\left[\begin{array}{ccc}9&-4&-5|9\\7&4&-4|-1\\6&-6&1|-5\end{array}\right][/tex]
Step-by-step explanation:
Steps to write equations in augmented form
Step 1
Write the coefficients of the x-terms as the numbers down the first column
Step 2
Write the coefficients of the y-terms as the numbers down the second column
Step 3
Write the coefficients of the z-terms as the numbers down the third column
Step 4
Write the constants which are in the end of equation in fourth column
Answer:
a. [tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]
Step-by-step explanation:
The given matrix is
9x-4y-5z=9
7x+4y-4z=-1
6x-6y+z=-5
The augmented matrix is the coefficient matrix combined with the constant matrix.
The coefficient matrix is obtained by writing the coefficient of the variables as a matrix.
The constant matrix is obtained by writing the constants as a column matrix.
Combining the two gives the augmented matrix;
[tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]