Q29 of 98 Page 310

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

X + y - z = 1;


3x + y – 2z = 3;


X – y – z = - 1.



To find: - x , y , z


Given set of lines are : -


x + y - z = 1


3x + y - 2z = 3


x - y - z = - 1


Converting the following equations in matrix form,


AX = B



R2 – 3R1


R3 – R1



Again converting into equations we get


X + y – z = 1


- 2y + z = 0


- 2y = - 2


Y = 1


- 2 + z = 0


Z = 2


X + 1 - 2 = 1


X = 2


∴


More from this chapter

All 98 →
27

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

6X - 9y – 20z = - 4;


4x – 15y + 10z = - 1;


2x - 3y - 5z = - 1.


 28

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

3x - 4y + 2z = - 1;


2x + 3y + 5z = 7;


X + z = 2.


 30

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

2x + y - z = 1;


x – y + z = 2;


3x + y – 2z = - 1.


 31

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

X + 2y + z = 4;


- x + y + z = 0;


x - 3y + z = 4.