To solve the system of equations:
$2x-3y-4z = 2$
$-z = 5$
$x-2y+z = 3$
you could use matrices, the two primary methods I have come across involve using the inverse (method 1) or just using Gaussian elimination straight away on an augmented matrix (method 2). I have attached the two methods below:
My question is whether there is any advantage of using method 1, as you have to carry out the same process as method 2 of Gaussian elimination, but then also have to multiply matrices afterwards, meaning method 2 is surely always quicker? Thanks.