Q. 123.8( 23 Votes )

Solve system of l

Answer :

The given system of equations is:

x - y + z = 4


2x + y -3z = 0


x + y + z = 2


The given system of equations can be written in the form of AX = B, where



Now |A| = 1(1+3) + 1(5) + 1(1) = 10 ≠ 0


A is a non-singular matrix and hence A-1 exists.


Now A11 = 4, A12 = -5, A13 = 1, A21 = 2, A22 = 0, A23 = -2, A31 = 1, A32 = -2, A33 = 3


So AdjA =



And hence X = A-1B


So


Hence x = 2, y = -1 and z = 1.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Three schools A, Mathematics - Board Papers

Using properties Mathematics - Board Papers

Two schools A andMathematics - Board Papers

State True or FalMathematics - Exemplar