x + 2y + 3z = a

2x +5y + 3z = b

x + 8z = c

what is condition should a,b,c be so that this system:

a) have exact one solution

b) have no solution

c) have infinit number of solution

please explain it step by step

i really need it.

thanks

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- Jan 27th 2009, 08:26 PMdull1234linear system
x + 2y + 3z = a

2x +5y + 3z = b

x + 8z = c

what is condition should a,b,c be so that this system:

a) have exact one solution

b) have no solution

c) have infinit number of solution

please explain it step by step

i really need it.

thanks - Jan 28th 2009, 06:04 AMred_dog
The determinant of the system is equal to -1, so the system has only one solution, $\displaystyle \forall a,b,c$

- Jan 28th 2009, 08:17 AMdull1234
i dont quite get what you mean, can you make it a little clearer ? thx