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LetA=[[1,-1,1],[2,1,-3],[1,1,1]] Using...

Let`A=[[1,-1,1],[2,1,-3],[1,1,1]]`
Using A^-1 solve the system of
equations
`x-y+z=4`
`2x+y-3z=0`
`x+y+z=2`

Text Solution

Verified by Experts

[[1,-1,1],[2,1,-3],[1,1,1]][(x),(y),(z)]=[(4),(0),(2)]
AX =B
`|A|=10!=0`
`X+A^(-1)B`
`A^(-1)=1/10 [[4,2,2],[-5,0,5],[1,-2,3]]`
`X=A^(-1)B`
x=2,y=-1,z=1
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