Section 16.5: Modeling with Linear Programming

16.5 Outline

  1. Introduction
    1. linear programming
    2. simultaneous systems of inequalities
  2. System of inequalities
  3. Linear programming
    1. convex set
    2. objective function
    3. constraints
    4. feasible solution
    5. optimum solution
    6. linear programming theorem
    7. linear programming procedure
    8. superfluous constraint

 

16.5 Essential Ideas

This section is an extension … See the whole entry

Section 16.4: Inverse Matrices

16.4 Outline

  1. Matrix operations
    1. matrix equation
    2. equality
    3. addition
    4. multiplication by a scalar
    5. subtraction
    6. multiplication
    7. noncomformable
  2. Zero-one matrices
  3. Algebraic properties of matrices
    1. zero matrix
    2. identity matrix for multiplication
    3. main diagonal
    4. additive inverse
    5. multiplicative inverse
    6. properties
      1. commutative
      2. associative
      3. identity
      4. inverse
      5. distributive
  4. Inverse
See the whole entry

Section 16.3: Matrix Solution of a System of Equations

16.3 Outline

  1. Definition of a matrix
    1. subscripts
    2. double subscripts
    3. array
    4. matrix
    5. rows and columns
    6. square matrix
    7. order/dimension
  2. Matrix form of a system of equations
    1. augmented matrix
    2. diagonal form
  3. Elementary row operations and pivoting
    1. elementary row operations
    2. equivalent matrices
    3. elementary row
See the whole entry

Section 16.1: Systems of Linear Equations

16.1 Outline

  1. Terminology
    1. system of equations
    2. simultaneous solution
    3. linear system
  2. Graphing method
    1. inconsistent system
    2. dependent system
  3. Substitution method
    1. equivalent systems
    2. procedure
  4. Linear combination (addition) method
    1. terminology
    2. procedure

 

16.1 Essential Ideas

To solve a system of equations means to find … See the whole entry