Q31 of 98 Page 310

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

X + 2y + z = 4;


- x + y + z = 0;


x - 3y + z = 4.



To find: - x , y , z


Given set of lines are : -


x + 2y + z = 4


- x + y + z = 0


x - 3y + z = 4


Converting the following equations in matrix form,


AX = B



R2 + R1


R3 – R1



Again converting into equations we get


X + 2y + z = 4


3y + 2z = 4


- 5y = 0


Y = 0


0 + 2z = 4


Z = 2


X + 0 + 2 = 4


X = 2


∴ x = 2 , y = 0 , z = 2


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