anonymous
  • anonymous
Solve using matrices x-2y+z=10 3x+y=5 7x+2z=2
Mathematics
katieb
  • katieb
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Owlcoffee
  • 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.
anonymous
  • anonymous
Would you mind going step by step with me? I am confused

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