Notation for systems of simultaneous equations

[Benjamin Irwin]

What notation would I need to use in order to write a mathematical statement to define a System S of simultaneous equations - let's say ax+by=c and ex+fy=g.

 

[Orodruin]

You just did it.

Matrix notation makes it neater, but the meaning is the same.

 

[fresh_42]

https://en.wikipedia.org/wiki/System_of_linear_equations
https://en.wikipedia.org/wiki/Matrix_(mathematics)#Linear_equations

 

[member 587159]

Usually the system is denoted with:

$\begin{cases} ax + by = c \\ dx + ey = f\end{cases}$

or $\begin{pmatrix} a & b \\ d & e \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} c \\ f \end{pmatrix}$

 

[mathwonk]

If T is a linear transformation and v and w are vector, one can simply write T(v) = w.