Question

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work.
4x - y + 3z = 12
x + 4y + 6z = -32
5x + 3y + 9z = 20

Answer 1

@Michele_Laino

Answer 2

ok! I try

Answer 3

so do you have your matirx?

Answer 4

then you do elementary operations

Answer 5

they are switch two rows, multiply one row by a constant, multiply by a const and add to another row

Answer 6

you should get the following

Answer 7

@SkiTTleoooo47 I think your system has no solution, because at the first step of the gaussian elimination I got: