Question

2x-y+3z =9 , x+y+z=6 , x-y+z=3​

Answer 1

Given

2x-y+3z=9 ............(1)

x+y+z=6...............(2)

x-y+z=2............(3)

using matrix inversion method

AX=B

[||[ 211-11-1311]||] [||[Xyz]||]= [||[ 962]||]

And X=A-1B where A-|=|A| adj (A)

Now adj A= [||[20-2-2-1

-1-413]||]

A|=2(1+1)-1(1-1)+3(-1-1)

|A|=4-6

|A|=-2

Now A-|=2-1[||[20-2-2-1-1-413]||]

Now X=A-1B

[||[Xyz]||]=2-|[||[20-2-2-1-1-413]||]

[||[962]||]

[||[Xy

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