Solve the shown using matrices: begin{cases}2x-y-2z=-1 x-2y-z=1 x+y+z=1 end{cases}

rocedwrp 2020-12-30 Answered
Solve the shown using matrices:
{2xy2z=1x2yz=1x+y+z=1
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

au4gsf
Answered 2020-12-31 Author has 95 answers
Step 1
given equations are
2xy2z=1
x2yz=1
x+y+z=1
We have to solve it by matrices
In matrix form
AX=B
[212121111][xyz]=[111]
augmented matrix
[212|1121|1111|1]
R3R2R3
[212|1121|1032|0]
R22R2R1
[212|1030|3032|0]
R1R1R3,R2R23
[220|1010|1032|0]
R1R12
[110|12010|1032|0]
R1R1R2,R3R3+3R2
[100|12010|1002|3]
R3R32
[100|12010|1001|32]
x=12,y=1,z=32
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-01-29 Author has 2087 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more