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Chapter 5
Systems
Question | Answer |
---|---|
Inequality | an open sentence using =, <, >, greater than or equal to, or less than or equal to |
Compound Sentence | uses 'and' or 'or' |
Intersection | the values the two sets have in common |
Union | the values that are either in one or both sets |
Solution Set for a System | the intersection of the solution sets for the individual sentences |
Consistent System | has one or more solutions |
Inconsistent System | has no solutions |
Linear Combination Method | combining the two sentences to get rid of a variable and find the other |
Inverse Matrices | MN=NM=[1 0 0 1] |
Matrix Form | [1 3 ][x] = [22] [2 -1][y] [ 2] |
System-Determinant | a 2x2 matrix has only one solution only if the determinant is not 0 |
Half-Planes | the line that separates the plane into two distinct regions |
Boundary | the line that splits the half-planes |
Feasible Set | the set of solutions to a linear system |
Vertices | the intersections of the boundaries |