Question

Solving for Matrices

Answer 1

a.
`\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right]`

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]`

Answer 2

option A

`\left[\begin{array}{ccc}9&-4&-5|9\\7&4&-4|-1\\6&-6&1|-5\end{array}\right]`

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