The solution of given system of linear equations having unique solutions using Gaussian elimination or gauss-Jordan elimination.
Answer to Problem 28E
The solution for given system of linear equation is.
Explanation of Solution
Given:
Equation given,
Concept Used:
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:
In the step 3 again perform row operations,
First perform,
And,
Step 4:
The next step for row operation is,
And,
Step4:
In this the matrix is in row echloen form,
Divide
And,
Now the matrix is obtained in the row echelon form , write the equations from the matrix,
Step5:
In the step 5 values of
From equations
Conclusion:
Hence, the solution for given system is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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