Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# 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 |

Created by:
Ohs-Kays