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=2.........(3) where x, y and z are non zero numbers.
it can be written as AX=B......(1),
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
thus x=2 , y=-1 and z=1
hope this helps you.