If R is a commutative ring with unit, then the commutator subgroup of GLn(R) is SLn(R), the special linear group, which consists of all matrices in GLn(R) with determinant 1.
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The general form is for a linear equation in n variables is SUM aixi = b (i = 1,2,3,...,n) where xi are the variables and the ai are constant coefficients.
a non linear graph pretty much means the points on the graph do not create a straight line. in order for a graph to be linear both the x axis and y axis have to increase/decrease at a constant rate, while in a non-linear graph when you connect the point it creates a line that isn't straight. however, in experimental data if the points are a bit off, but still in one general area, it can be considered linear.
ax + by + c = 0 where x and y are the variables, a, b and c are numerical constants.
The term "linear line" is redundant; lines are necessarily linear, since linear means in the form of a line.
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.