Q18 of 98 Page 310

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

x + 2y + z = 7;


x + 3z = 11;


2x – 3y = 1.



To find: - x , y , z


Given set of lines are : -


x + 2y + z = 7;


x + 3z = 11;


2x – 3y = 1


Converting following equations in matrix form,


AX = B



R2 – R1


R3 –2R1



R3 + R2



Again converting into equations we get


X + 2y + z = 7


- 2y + 2z = 4


- 9y = - 9


Y = 1


- 2×1 + 2z = 4


2z = 6


Z = 3


X + 2×1 + 3 = 7


X = 7 - 2 - 3


X = 2


∴


More from this chapter

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16

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

x – y + z = 1;


2x + y – z = 2;


X – 2y – z = 4.


 17

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

3X + 4y + 7z = 4;


2x – y + 3z = - 3;


x + 2y – 3z = 8.


 19

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

2x - 3y + 5z = 16;


3x + 2y – 4z = - 4


x + y – 2z = - 3.


 20

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

x + y + z = 4;


2x – y + z = - 1;


2x + y – 3z = - 9.