2 answers:
Answer:
option A
![\left[\begin{array}{ccc}9&-4&-5|9\\7&4&-4|-1\\6&-6&1|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26-4%26-5%7C9%5C%5C7%264%26-4%7C-1%5C%5C6%26-6%261%7C-5%5Cend%7Barray%7D%5Cright%5D)
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. ![\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D9%26-4%26-5%26%7C9%5C%5C7%264%26-4%26%7C-1%5C%5C6%26-6%261%26%7C-5%5Cend%7Barray%7D%5Cright%5D)
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;
![\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D9%26-4%26-5%26%7C9%5C%5C7%264%26-4%26%7C-1%5C%5C6%26-6%261%26%7C-5%5Cend%7Barray%7D%5Cright%5D)
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