# Chapter 4/13 Test

### 19 terms by ehitt

#### Study  only

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### consistent system

if a system has at least one solution
occurs when lines intersect

### inconsistent system

a system with no solutions
occurs when lines are parallel

### dependent system

a system with infinite solutions
occurs when two lines overlap

### linear programming

purpose is to find optimum solutions given a list of restrictions/limitations by graphing and finding points

### constraints

expressed as a system of inequalities in a linear programming problem

### feasible region

represents the set of all possible production points under the limitations/constraints

### objective quantity

profit or cost equation

### linear programming theorem

the maximum or minimum values always occur at the vertices (corner points) of the feasible region

### the maximum or minimum values always occur at the vertices (corner points) of the feasible region

linear programming theorem

### matrix

a rectangular arrangement of numbers
table that is always represented by a capital letter

### linear combination/elimination

method of solving two variable equations by getting rid of one of the variables
process usually includes multiplying one or both of the equations by a number

### scalar

another word for number

### Gaussian elimination

method for solving matrix equations by A*X=B

### Triangular form

method of solving three variable systems by eliminating one variable at a time then re-entering values into the equations
x+y+z =
y+z=
z=

### coefficient matrix

matrix of a matrix equation that has the numbers that come directly before the variables
Represented by A

### unknown matrix

matrix of a matrix equation that has x y and z
represented by x

### constant matrix

matrix of a matrix equation that has the answers to the equation (=______)
Represented by the letter B

### matrix equation

x= A⋅1 *B
has a coefficient, unknown and constant matrix

row by column

Example: