click below
click below
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 |