The system of linear equation is inconsistent or dependent. If the system is dependent find the complete solution.
Answer to Problem 37E
The given system of linear equation is dependent.
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 are performed. In the first row operation,
The next row operation to be performed is,
In the next operation,
The matrix obtained is,
Now to obtain the
Perform
This matrix is now obtained in row- echelon form . The first row of the last matrix can be written in equation form as follows,
As,
Thus given system is dependent.
If any values of
Conclusion:
Hence, the given system of linear equation is dependent.
Chapter 10 Solutions
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