Using the inverse matrix method or otherwise, solve for x, y and z in the given system of equations: 2x + y − z = 8, -x + 3z = -1, 3x − y + 2z = 5

Here's a detailed solution to the problems:

Question 9

i) Given the system of equations:

$$\begin{cases} 2x + y - z = 8 \\ -x + 3z = -1 \\ 3x - y + 2z = 5 \end{cases}$$

a) Using the inverse matrix method or otherwise, solve for $x, y$ and $z$.

Step 1: Write the system of equations in matrix form $AX=B$.

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