Linear Systems

Description

High School Diploma Algebra 2 Mind Map on Linear Systems, created by Rachel Osborne on 24/11/2015.
Rachel Osborne
Mind Map by Rachel Osborne, updated more than 1 year ago
Rachel Osborne
Created by Rachel Osborne about 9 years ago
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Resource summary

Linear Systems
  1. System = several equations
    1. Methods for Solving
      1. Substitution eg.(mx+b=nx+v)
        1. Elimination (adding or subtracting in order to eliminate one factor)
        2. Classification
          1. Inconsistent
            1. eg. y+x=5; y+x=92
              1. No Solution
              2. Consistent System Has At Least One Solution
                1. Dependent = same slope and intercept
                  1. Infinite Solutions
                  2. Independent = one point at which equations intersect
                2. Linear Programming
                  1. Method of finding a maximum or minimum value of a function that satisfies a given set of constraints
                    1. Solution is graphed as a feasible region
                      1. A constraint is one of the inequalities in a linear programming problem
                        1. Check corners to find highest or lowest point
                      2. Linear Equations in 3 Dimensions
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