In Problems 1-4, find a general solution for the system
To solve: The system
Answer to Problem 1RP
Solution:
The solution of system
Explanation of Solution
Formula used:
The procedure to solve the
Step-1: Apply the condition
Step-2:Apply the
Step-3:Write the general solution of system
Calculation:
Consider the system
Apply the condition
Expand the above determinant:
Factories the above quadratic equation:
Equate first factor to 0:
Equate second factor to 0:
Apply the
Write above matrix notation in scalar form notation:
The eigenvector corresponding to eigenvalue
Apply the
Write above matrix notation in scalar form notation:
The eigenvector corresponding to eigenvalue
The general solution of system corresponding to eigenvector
Conclusion: Therefore, the solution of system
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