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

rocedwrp

rocedwrp

Answered question

2020-12-30

Solve the shown using matrices:
{2xy2z=1x2yz=1x+y+z=1

Answer & Explanation

au4gsf

au4gsf

Skilled2020-12-31Added 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
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-29Added 2605 answers

Answer is given below (on video)

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