Q34 of 98 Page 310

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


More from this chapter

All 98 →
32

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

x - y – 2z = 3;


x + y = 1;


x + z = - 6.


 33

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

5x - y = - 7;


2x + 3z = 1;


3y – z = 5.


 35

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

x - y = 3;


2x + 3y + 4z = 17;


y + 2z = 7.


 36

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

4x + 3y + 2z = 60;


x + 2y + 3z = 45;


6x + 2y + 3z = 70.