# USING MATRICES SOLVE 1X -1Y +1Z = 4 , 2X + 1Y -3Z =0 ,1X + 1Y +1Z =2WHERE X, HHY , Z ARE NON ZERO NUMBERS

the given equations are :

1x-1y+1z=4........(1)

2x+1y-3z=0.........(2)

1x+1y+1z=2.........(3)  where x, y and z are non zero numbers.

it can be written as AX=B......(1),

where

the solution of the eq (1) is given as:

the determinant of A is

since the determinant of A is non zero.

now we will proceed to find inverse of A.

the cofactor matrix for A is

so the adjoint of A is

since

therefore

hence

thus x=2 , y=-1 and z=1

hope this helps you.

cheers!!

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