Q10 of 75 Page 8

Mark the correct alternative in the following:

The system of equations:


x + y + z = 5


x + 2y + 3z = 9


x + 3y + λz = μ


has a unique solution, if


The given system of linear equations is :-


x + y + z = 5


x + 2y + 3z = 9


x + 3y + λz = μ


The matrix equation corresponding to the above system is



Let A =


|A| = = 1(2


= 2-9 –+3+1 =


For the existence of a unique solution |A| 0


0



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8

Mark the correct alternative in the following:

For the system of equations:


x + 2y + 3z = 1


2x + y + 3z = 2


5x + 5y + 9z = 4


 9

Mark the correct alternative in the following:

The existence of the unique solution of the system of equations:


x + y + z = λ


5x – y + μz = 10


2x + 3y – z = 6 depends on


 1

If find x, y and z.

 2

If find x, y and z.