Solve each of the following systems of equations using matrix method.

x - 2y + z = 0;


y – z = 2;


2x – 3z = 10.



To find: - x , y , z


Given set of lines are : -


x - 2y + z = 0


y - z = 2


2x - 3z = 10


Converting the following equations in matrix form,


AX = B



R3 – 2R1



R3 - 4R2



Again converting into equations we get


X - 2y + z = 0


Y – z = 2


- z = 2


Z = - 2


Y + 2 = 2


Y = 0


X + 0 - 2 = 0


X = 2


x = 2 , y = 0 , z = - 2


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