1.

Solve the following system of linear equations using matrix method.x-y+2z=73x+4y-5z=5 2x-y+3z =12

Answer»

SOLUTION :[[1,-1,2],[3,4,-5],[2,-1,3]][(X),(y),(z)]=[(7),(-5),(12)]
i.e.,AX=B
`THEREFORE X + A^(-1) B`
`A^(-1)=(adj A)/|A|=1/4 [[7,1,-3],[-19,-1,11],[11,-1,7]]`
`X=A^(-1)B=[(2),(1),(3)]`
x=2,y=1,z=3


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