For the given a system of linear equations 4x+y-5z=8 -2x+3y+z=12 3x-y+4z=5 Use matrix inversion to solve simultaneous equations.

Tammy Todd 2021-02-19 Answered
For the given a system of linear equations
4x+y-5z=8
-2x+3y+z=12
3x-y+4z=5
Use matrix inversion to solve simultaneous equations.
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Expert Answer

Fatema Sutton
Answered 2021-02-20 Author has 88 answers
This question is solved as follows:

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Jeffrey Jordon
Answered 2021-09-08 Author has 2495 answers

Given Linear equations

4x+y5z=8

2x+3y+z=12

3xy+4z=5

Now the matrix be 'A'

A=[415231314]

Let A=|A|=4(12+1)1(83)5(29)

=52+11+35

|A|=98

raw cofactors are found as

Cofactor of 4=[3114]=12+1=13

Cofactor of 1=[2134]=83=11

Cofactor of 5=[2331]=29=7

Cofactor of 2=[1514]=45=1

Cofactor of 1=[4131]=43=7

Cofactor of 3=[1531]=1+15=16

Cofactor of 1=[4521]=410=6

Cofactor of 4=[4123]=12+2=14

A=1|A|adjA=198[13117131716614]

The system of equation can be written as AX=B

[415231314][xyz]=[8125]

Ax=Bx=A1B

[xyz]=198[13117131716614][8125]

=198[104132358+372351287270]

=198[63329126]

[xyz]=[63/98329/98129/98]

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