So I'm given this question.

$\displaystyle 4x + 2y + 4x = 3, 2y + z = 1, 2x + 2z = 1$

and it says Forumlate a single vector matrix equation from the three equations given.

Sounds pretty obvious but a single vector matrix would just be

|x| = |3|

|y| = |1|

|z| = |1|

Sorry I can't figure out how to set the proper array brackets and stuff. But that is the single matrix vector?

Here is a correct inverse matrix of the matrix you formulated obove.

1 -1 -1.5

0.5 0 -1

-1 1 2

Sorry about the formatting lol. I think I'm missing a step though because I have to show that this matrix is a correct inverse of the matrix I created obove, but the matrix I created was just a single vector??