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LetA=[[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 |
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Answer» Solution :[[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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