anonymous one year ago Solve using matrices x-2y+z=10 3x+y=5 7x+2z=2

1. Owlcoffee

This method is also called "Gauss jordan reduction", it consists on representing a system of equalities and tweaking the matrix until you get a matrix that looks like: $\left[\begin{matrix}a & 0 & 0 & K \\ 0 & b & 0 & K'\\ 0 & 0 & c & K'' \end{matrix}\right]$ The reasong is quite simple, because that matrix implies that: $ax=K$ $by=K'$ $cz=K''$ So, applying it to the system of equation you posted, the matrix will look like this: $\left[\begin{matrix}1 & -2 & 1 & 10 \\ 3 & 1 & 0 & 5\\ 7& 0 & 2 & 2\end{matrix}\right]$ So, all you have to do is apply the matrix properties until you get a matrix with the same structur as the first I mentioned.

2. anonymous

Would you mind going step by step with me? I am confused