Note 1.2.1.
We will often just say system of equations to mean a system of linear equations.
Section 1.2 Terminology and notation
- linear equation
- system of linear equations
- a (finite) collection of linear equations
- (specific) solution
- a set of values that, when substituted in for the variables of a system of equations, satisfy all of the equations in the system simultaneously
- solution set
- the collection of all possible solutions to a system of equations
- consistent system
- a system of equations with at least one solution
- inconsistent system
- a system of equations with no solution
- parametric equations
- a collection of formulas, based on one or more parameters, for the variables in a linear system that represent all possible solutions to the system (as the parameters vary over all real numbers)
- matrix
- a rectangular array of numbers
- augmented matrix
- a matrix of the coefficients and constants in a linear system
- matrix entry
- one of the numbers in a matrix; sometimes also referred to as a matrix coefficient
- row
- a horizontal line of entries in a matrix
- column
- a vertical line of entries in a matrix
- elementary row operations
