​Write the System of Linear Equations as a Matrix Equation

question 262

Essay

​Write the system of linear equations as a matrix equation AX = B, and use Gauss-Jordan elimination on the augmented matrix [A|B] to solve for the matrix X.Show all your work.
​ $$\left\{ \begin{array} { r l r } x _ { 1 } + 8 x _ { 2 } - 3 x _ { 3 } & = 66 \\- x _ { 1 } - 9 x _ { 2 } + 8 x _ { 3 } & = - 101 \\9 x _ { 1 } + 9 x _ { 2 } + 3 x _ { 3 } & = 99\end{array} \right.$$

---

Definitions:

Software Tools

Various applications or programs used to perform tasks or functions on a computer, ranging from productivity to development tools.

Manufacturing Plant

A facility where goods are produced in large quantities through the use of machinery, labor, and processes.

Time Division

The segmentation or allotment of time into distinct periods, often used in scheduling or prioritizing tasks.

Parallelism

Parallelism is the use of components in sentences that are grammatically the same; or similar in their construction, sound, meaning, or meter.