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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

 Sep 24, 2023
 #1
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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 SPPBcool

 Sep 29, 2023

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