Find the solution of the system of linear equation using Gaussian elimination with back-substitution method.
Answer to Problem 27RE
The solutions of the system are
Explanation of Solution
Given information:
The givensystem of linear equationsare
Calculation:
A matrix derived from a system of linear equations is the augmented matrix of the system. Moreover, the matrix derived from the coefficients of the system is the coefficient matrix of the system.
Let the system of linear equations are
The augmented matrix is
Write an augmented matrix for the given system of linear equations.
Use Gaussian elimination method.
Now the system of linear equations are
Substitute the value of
Substitute the value of
Hence the solutions of the system are
Chapter 8 Solutions
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