Reduced Row Echelon Form Gaussian Elimination Example

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Andy Math

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Just add first 3 rows. 2x+2y+2z=20;
x+y+z=10; y+z=10-x; we already know that y+z=7 so 10-x=7; x=3; replase x with 3 and you find y=5 z=2

vovadenys

Geeee….. how complicated…. I did this in my head in less than two minutes…. But thanks for the reminder on how matrixes work… haven’t done any for the past 35yrs 🤣🙈

chrismerk

Thats a very complicated way to solve, I started from the third equation going back, x+z=5 and z+y=7 that means z+x+2=7 so because y=x+2 then the first equation is 2X+2=8 doing quick math x=3 and from there u can solve the rest easily

איתיגלעדכהן

I’m guessing by process of elimination that x, y and z are 3, 5 and 2 respectively. I hope I get it right!

prasannatiwari

Why don't you just find the inverse of the matrix and multiply it by the 3×1 result matrix

murtadhanajem

Could I solve this by using a system of equations?

jeromevargas

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