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# Pre-Cal

Term | Definition |
---|---|

Additive Identity Matrix | if an m*n matrix I is a zero matrix, then I is an additive identity matrix, such that for any m*n matrix A, A+I=A |

Alternate Optimal Solution | When there are two or more optimal solutions for a linear programming problem, the problem is said to have alternate optimal solutions |

Column Matrix | a matrix that has only one column |

Consistent | a system of equations that has at least one solution |

Constraints | conditions given to variables, often expressed as linear inequalities |

Dependent | a system of equations that has infinitely many solutions |

Determinant | a square array of numbers having a numerical value |

Dilation | a transformation in which a figure is enlarged or reduced |

Dimensions | the number of rows, m, and the number of columns, n, of the matrix written as M*N |

Element | any value in the array of values |

Elimination Method | a technique used to solve a system of equations |

Equal Matrices | Two matrices are equal if an only if they have the same dimensions and their corresponding elements are identical |

Identity Matrix for Multiplication | the identity matrix of nth order, In, is the square matrix whose elements in the main diagonal, from upper to lower right, are 1s, while all other elements are 0s. |

Image | the graph of an object after a transformation |

Inconsistent | a system of equations that has no solutions |

Independent | a system of equations that has exactly one solution |

Infeasible | when the constraints of a linear programming problem cannot be satisfied simultaneously |

Inverse Matrix | |

Linear Programming | a procedure for finding the maximum or minimum value of a function in two variables subject to given constraints on the varibales |

M * N Matrix | a matrix with m rows and n columns |

Matrix | a rectangular array of terms called elements |

Minor | the minor of an element of nth-order matrix is the determinant of (n-1) th order found by deleting the row and column containing the element |

Nth Order | a square matrix with n rows and n columns |

Ordered triple | the solution of a system of equations in three variables |

Polygonal Convex Set | the solution of a system of linear inequalities |

Pre-Image | the graph of an object before a transformation |

Reflection | a linear transformation that flips a figure over a line called the line of symmetry |

Relection Matrix | a matrix used to reflect an object over a line or plane |

Rotation | a transformation in which an object is moved around a center point |

Rotation Matrix | a matrix used to rotate an object |

Row Matrix | a matrix that only has one row |

Scalar | a real number |

Solution | an ordered pair representing the solution common to both equations in a system of equations |

Square Matrix | a matrix with the same # of rows as columns |

Substitution Method | a method for solving a system of equations |

System of Equations | a set of equations with the same variables |

Transformations | functions that map points of a graph onto its image |

Translation | a linear transformation that slides the graph vertically and/ or horizontally on the coordinate plane, but does not change its shape. |

Translation Matrix | the matrix used to represent the translation of a set of points with respect to (h, k) |

Unbounded | the solution of a linear programming problem is unbounded if the region is defined by the constraints is infinitely large. |

Vertex Matrix | a matrix used to represent the coordinates of the vertices of an object |

Vertex Theorem | |

Zero Matrix | a matrix whose elements are all zero |