From: Andrew Lorimer Date: Thu, 31 Jan 2019 23:01:14 +0000 (+1100) Subject: minor corrections to polynomials notes X-Git-Tag: yr12~269 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/80fa4f8c5efaf3e4f4c1ac719831ae363f64dd7a minor corrections to polynomials notes --- diff --git a/methods/polynomials.md b/methods/polynomials.md index 02dc629..a8b56af 100644 --- a/methods/polynomials.md +++ b/methods/polynomials.md @@ -55,9 +55,9 @@ Equations with multiple pronumerals. Solutions are expressed in terms of pronume ## Simultaneous equations (linear) -- Unique solution - lines intersect at point -- Infinitely many solutions - lines are equal -- No solution - lines are parallel +- **Unique solution** - lines intersect at point +- **Infinitely many solutions** - lines are equal +- **No solution** - lines are parallel Solving in matrix form - use inverse $A^{-1}= {1 \over {ad-bc}}\begin{bmatrix}d & -b \\ -c & a\end{bmatrix}$. $A^{-1}$ exists for infinite solutions or no solutions ($ad-bc=0$), does not exist for unique solutions ($ad-bc \ne 0$). -Or use `det` on CAS. \ No newline at end of file +Or use Matrix -> `det` on CAS. \ No newline at end of file