Solve the system of linear equations.
Answer to Problem 42E
The solution for given system is
Explanation of Solution
Given:
Equation given,
Concept Used:
The Concept of Gaussian elimination to solve system of linear equation is used.
Calculation:
Consider first the given equations,
Step
In the first step first convert the given, equation into augmented matrix.
Step
In the second step convert the augmented matrix and use the Gauss Elimination method.
For this row operation is performed.
In the first row operation perform,
Now the next row operations is,
The matrix obtained is,
After this, the next row operation is,
Step
To convert the matrix in row echelon ,
Divide
The matrix obtained is,
As, from the above matrix the second and the third row are observed to be same, there are dependent and unlimited solutions.
Consider
The equations are written as follows,
From the third equation the value of
From equation second to find the value of
Substitute the value of
Conclusion:
Hence, the solution for given system is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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