A linear equation represents a linear function that forms a straight line.
A common form of a linear equation in the two variables (two dimensions) x and y is
<math> y= mx + b </math>
where:
In Statistics, it's the basic of a regression
Terms of linear equations cannot contain:
In linear algebra, a linear equation can be expressed as an equation stating the value of the dot-product of:
Therefore a linear equation (function) is an equation of the form
<math>a . x = \beta</math>
where:
A linear equation a · x = 0 with zero right-hand side is a homogeneous linear equation. A system of homogeneous linear equations is called a homogeneous linear system.
Oracle: