Pre-Cal
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each of the black spaces below before clicking
on it to display the answer.
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| 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
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| 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
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| Column Matrix | a matrix that has only one column
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| Consistent | a system of equations that has at least one solution
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| Constraints | conditions given to variables, often expressed as linear inequalities
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| Dependent | a system of equations that has infinitely many solutions
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| Determinant | a square array of numbers having a numerical value
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| Dilation | a transformation in which a figure is enlarged or reduced
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| Dimensions | the number of rows, m, and the number of columns, n, of the matrix written as M*N
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| Element | any value in the array of values
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| Elimination Method | a technique used to solve a system of equations
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| Equal Matrices | Two matrices are equal if an only if they have the same dimensions and their corresponding elements are identical
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| 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.
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| Image | the graph of an object after a transformation
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| Inconsistent | a system of equations that has no solutions
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| Independent | a system of equations that has exactly one solution
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| Infeasible | when the constraints of a linear programming problem cannot be satisfied simultaneously
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| Inverse Matrix |
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| Linear Programming | a procedure for finding the maximum or minimum value of a function in two variables subject to given constraints on the varibales
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| M * N Matrix | a matrix with m rows and n columns
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| Matrix | a rectangular array of terms called elements
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| 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
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| Nth Order | a square matrix with n rows and n columns
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| Ordered triple | the solution of a system of equations in three variables
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| Polygonal Convex Set | the solution of a system of linear inequalities
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| Pre-Image | the graph of an object before a transformation
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| Reflection | a linear transformation that flips a figure over a line called the line of symmetry
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| Relection Matrix | a matrix used to reflect an object over a line or plane
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| Rotation | a transformation in which an object is moved around a center point
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| Rotation Matrix | a matrix used to rotate an object
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| Row Matrix | a matrix that only has one row
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| Scalar | a real number
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| Solution | an ordered pair representing the solution common to both equations in a system of equations
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| Square Matrix | a matrix with the same # of rows as columns
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| Substitution Method | a method for solving a system of equations
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| System of Equations | a set of equations with the same variables
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| Transformations | functions that map points of a graph onto its image
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| Translation | a linear transformation that slides the graph vertically and/ or horizontally on the coordinate plane, but does not change its shape.
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| Translation Matrix | the matrix used to represent the translation of a set of points with respect to (h, k)
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| Unbounded | the solution of a linear programming problem is unbounded if the region is defined by the constraints is infinitely large.
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| Vertex Matrix | a matrix used to represent the coordinates of the vertices of an object
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| Vertex Theorem |
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| Zero Matrix | a matrix whose elements are all zero
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Created by:
Ohs-Kays
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