The solution of given system of linear equations having unique solutions using Gaussian elimination or gauss-Jordan elimination.
Answer to Problem 25E
The solution for given system of linear equation is
Explanation of Solution
Given:
Equation given,
Concept Used:
The concept of Gaussian elimination is used to concert the linear system into row echelon form.
Calculation:
Consider first the given equations,
Step1:
In the first step first convert the given, equation into augmented matrix.
Step 2:
In the second step convert the augmented matrix into row echelon form.
For this row operation is performed. In the first row operation,
Perform,
Step3:
The next row operation is,
And,
Step4:
The next row operation to be performed is,
After this, the next operation is,
Step5:
This step is called the row echelon form
Divide the above matrix ,
The obtained matrix is,
The above matrix is in row echelon form, the equation written are,
Step6:
The values of
From equation
To find the value of
To find the value of
Conclusion:
Hence, the solution for given system is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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