Asked by sonia
. Investigate the values of and such that the system of equations
x + y + z = 6
x + 2y + 3z = 10
x + 2y + z = , may have
(i) Unique solution
x + y + z = 6
x + 2y + 3z = 10
x + 2y + z = , may have
(i) Unique solution
Answers
Answered by
MathMate
(i)
For the system
x + y + z = 6
x + 2y + 3z = 10
x + 2y + Hz = K
to have unique solution, the determinant on the left hand side, namely
|1 1 1|
|1 2 3| = Δ
|1 2 H|
must be non-zero.
Δ would be zero is when there are two identical rows or columns. This can happen for one value of H.
You will need to stipulate the condition on H such that identical rows do not appear in Δ.
Post if you need further help.
For the system
x + y + z = 6
x + 2y + 3z = 10
x + 2y + Hz = K
to have unique solution, the determinant on the left hand side, namely
|1 1 1|
|1 2 3| = Δ
|1 2 H|
must be non-zero.
Δ would be zero is when there are two identical rows or columns. This can happen for one value of H.
You will need to stipulate the condition on H such that identical rows do not appear in Δ.
Post if you need further help.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.