Ch 3 Flashcards
a matrix that contains only the coefficients of a system of equations
Coefficient matrix
A matrix that contains the constants of a system
Constant matrix
A method that uses determinants to solve a system of linear equations
Cramer’s rule
A square array of numbers for variables in closed between two parallel lines
Determinant
A method for finding the determinant of a third order pair
Diagonal rule
Illuminate one of the variables in a system of equations by adding or subtracting the equations
Elimination method
The intersection of the graph in a System of constraints
Feasible region
A square matrix that, when multiplied by another matrix, equals that same matrix. If A is any nXn matrix and I is the nXn identity Matrix
A x I =A and I x A = A
Identity matrix
The process of finding the maximum or minimum values of a function for a region defined by inequality
Linear programming
Any rectangular array of variables or constants in horizontal rows and vertical columns
Matrix
A matrix form used to represent a system of equations
Matrix equations
To seek the optimal price or amount that is desired to minimize costs or maximize profits
Optimize
A constant
Scalar
Multiplying any matrix by a constant called a scalar; the product of a scalar k and an m X n matrix
Scalar multiplication
The determinant of a 2×2 matrix
Second-order determinant
A matrix with the same number of rows and columns
Square matrix
A method of solving a system of equations in which one equation is solved for one variable in terms of the other
Substitution method
A set of any qualities with the same variables
System of inequalities
Determinant of a 3×3 matrix
Third-order determinant
Set of equations with the same variables
System of equations
A system of inequalities that forms a region that is open
Unbounded
A matrix that only contains the variables of a system of equations
Variable matrix
A region is bounded when the graph of a system of constraints in a polygonal region
Bounded
