Eliminant/Examples
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Examples of Eliminants
Arbitrary Example
Consider the system of simultaneous linear equations:
\(\ds a_1 x + b_1 y + c_1\) | \(=\) | \(\ds 0\) | ||||||||||||
\(\ds a_2 x + b_2 y + c_2\) | \(=\) | \(\ds 0\) | ||||||||||||
\(\ds a_3 x + b_3 y + c_3\) | \(=\) | \(\ds 0\) |
The eliminant of the above is:
- $\begin {vmatrix} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3 \end {vmatrix}$