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lizzynmk
28.01.2020 •
Mathematics
For the following system.
kx + y + z = 1
x + ky + z = 1
x+ y + kz = 1
determine for what values of k the system has:
a) no solutions
b) one solution
c) a lot of solutions
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Ответ:
| k 1 1 |
| 1 k 1 | = k^3 - 3k + 2 = 0
| 1 1 k |
Solving for the roots, k = -2, and k = 1.
When k = 1, the three equations are the same so there are infinite solutions.
When k = -2, there are no solutions.
When k /= -2 and k /= 1, there is one solution.
Ответ:
there are 13250 milliliters