Use an inverse matrix to solve system of linear equations.x+2y=-1x-2y=3

pancha3 2021-02-18 Answered

Use an inverse matrix to solve system of linear equations.
x+2y=1
x2y=3

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Expert Answer

Mitchel Aguirre
Answered 2021-02-19 Author has 94 answers

Step 1
In matrix form, given system of equations cab be written as
x+2y=1
x2y=3
AX=B
A=[1212],X=[xy],B=[13]
We know that
[abcd]1=1adbc[dbca]
Step 2
Therefore,
A1=11(2)2(1)[2211]
A1=14[2211]
Therefore, solution of system of equations is
X=A1B
X=14[2211][13]
X=14[2613][11]
x=1,y=1
Result:x=1,y=1

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