+124 1. Write a matrix representing the system of equations
x+2y+z=5
2x-y+2z=15
3x+y-z=8
Solve the system by transforming your matrix into reduced row echelon form. State the solution as an ordered triple.
Thank you for reading this, please help me with this
+67 WE CAN WRITE THE EQUATION LIKE \(\begin{pmatrix} 1&&2&&1\\ 2&&-1&&2\\ 3&&1&&-1 \end{pmatrix} \begin{pmatrix} x\\ y\\ z \end{pmatrix} = \begin{pmatrix} 5\\ 15\\ 8 \end{pmatrix}\)
SOLVING THE EQUATIONS WE GOT X=4, Y=-1 , Z = 3
so, our answer is \(\begin{pmatrix} 4\\ -1\\ 3 \end{pmatrix}\).
USER SPPB
