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A ____________ is a set of two or more equations that have two or more related unknowns.
A ____________ is a set of two or more equations that have two or more related unknowns.
system of equations
A System of Equations is a set of two or more equations that have two or more related unknowns, called ___________.
A System of Equations is a set of two or more equations that have two or more related unknowns, called ___________.
variables
A __________ consists of linear equations.
A __________ consists of linear equations.
linear system
A __________ is a set of values for the variables that makes all the equations true.
A __________ is a set of values for the variables that makes all the equations true.
____________ is a method for finding minimum or maximum value of some quantity, given a set of constraints.
____________ is a method for finding minimum or maximum value of some quantity, given a set of constraints.
___________ is another name for limits.
___________ is another name for limits.
The _________ contains all the points that satisfy all the constraints.
The _________ contains all the points that satisfy all the constraints.
The quantity you are trying to maximize or minimize is modeled with an _______ _______.
The quantity you are trying to maximize or minimize is modeled with an _______ _______.
A _________ is a rectangular array of numbers.
A _________ is a rectangular array of numbers.
Each number in a matrix is called an ________.
Each number in a matrix is called an ________.
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Study Notes
System of Equations
- A set of two or more equations involving two or more related unknowns, referred to as variables.
Variables
- Unknowns present in a system of equations, representing quantities to be determined.
Linear System
- Consists of linear equations, which when graphed form straight lines.
Solution of a System
- A collection of values for the variables that satisfy all equations within the system.
Linear Programming
- A technique used to determine the minimum or maximum value of a quantity, subject to specific constraints.
Constraints
- Limitations or restrictions imposed on the variables within a problem.
Feasible Region
- The area on a graph that includes all points satisfying the constraints of the system.
Objective Function
- A mathematical representation of the quantity to be maximized or minimized, typically reflecting costs or profits.
Matrix
- A structured, rectangular arrangement of numbers organized in rows and columns.
Element
- An individual number found within a matrix, representing a specific data point.
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