The system of linear equation is inconsistent or dependent. If the system is dependent to find the complete solution.
Answer to Problem 35E
The given system of equation has infinitely no solutions.
Explanation of Solution
Given:
Equation given,
Concept Used:
The concept to find the complete solution of the system using the row operations is 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 reduce the augmented matrix to convert it into row echelon form,
Transform the augmented matrix into row echelon form.
The first row operation is,
The next row operation is,
Step3:
The next row operation is to convert in row echelon form is,
The next operation to be performed is,
Now the last operation is,
In the second equation of the above matrix,
Considering the last matrix the equation is written as,
As
The system is said to be dependent.
Conclusion:
Hence, the given system of equation has infinitely many solutions and is dependent.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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