Question

Which matrix represents the system of equations below?

Answer 1

The matrix that best represents the linear system of equations must be written vector by vector in each of the rows. That is, components x in column 1, components and in column 2 and component z in column 3. In column 4 you write the results. Attached solution.

Answer 2

Answer: $\left[\begin{array}{ccc}-12&-13&13\ \ |\ 15\\7&-10&-3\ | \ 11\\7&14&5 \ \ \ \ | -5 \end{array}\right]$

Step-by-step explanation:

Given system of equations :

-12x -13y + 13z = 15

7x -10y-3z = 11.

7x+14y+5z =-5.

We need to write the matrix represents the system of equations.

Note: In order to write the matrix for a system, we need to write all the coefficients of first equation in first row and then all the coefficients of second equation in second row and so on.

Therefore, the matrix represents the system of equations given above would be :

$\left[\begin{array}{ccc}-12&-13&13\ \ |\ 15\\7&-10&-3\ | \ 11\\7&14&5 \ \ \ \ | -5 \end{array}\right]$