Saturday, 27 April 2013
Question: 1 Marks: 30
Analyze the following critical but interesting things using the following system of linear equations:
Using the following system of linear equations:
1) State the reason why the consistency and inconsistency of the given system is depending on its coefficient matrix. The reason should be very clear.
2) Determine the value of ‘ ’ that makes the given system inconsistent. Also, what will be the value of the determinant corresponding to that value of ?
3) Determine the values of those makes the above system consistent. Also, calculate the determinant corresponding to those values of ?
4) Determine the values of the unknowns in the given system corresponding to and .
5) Determine the free variable from the above system of equations.
6) Also discuss the uniqueness and non-uniqueness of the solution of the given system. I mean to say that is it possible for a system to have a unique solution? If it has then what will be the conditions on the system if not then what will be the conditions.
Analyze the following critical but interesting things using the following system of linear equations:
Using the following system of linear equations:
1) State the reason why the consistency and inconsistency of the given system is depending on its coefficient matrix. The reason should be very clear.
2) Determine the value of ‘ ’ that makes the given system inconsistent. Also, what will be the value of the determinant corresponding to that value of ?
3) Determine the values of those makes the above system consistent. Also, calculate the determinant corresponding to those values of ?
4) Determine the values of the unknowns in the given system corresponding to and .
5) Determine the free variable from the above system of equations.
6) Also discuss the uniqueness and non-uniqueness of the solution of the given system. I mean to say that is it possible for a system to have a unique solution? If it has then what will be the conditions on the system if not then what will be the conditions.
