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Level 382

Matrices & Linear Programming


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matrix
a rectangular array of elements (or entries) set out by rows and columns
element
each piece of information in a matrix
scalar
A term used in matrix multiplication to describe a real number as opposed to a matrix
Scalar Product
The product of a scalar and a matrix
matrix equation
An equation with matrices
matrix product
The result when two matrices are multiplied
columnar matrix
A matrix with only one column
fractal
A geometric shape that can be split into parts, each of which is a reduced-size copy of the whole
determinant
ad-bc; must be nonzero for an invertible matrix
Cramer's rule
A formula for solving a system of two linear equations using matrices
coefficient matrix
A matrix used to solve a system of linear equations with Cramer's rule, in which the elements of the matrices are the coefficients of the variables
identity matrix
diagonal matrix with ones in the leading diagonal and zeros in the other positions.
multiplicative inverse
reciprocal of a number
inverse matrix
The multiplicative inverse of a square matrix is called its inverse matrix.
linear programming
A way to solve some real-life problems, involves maximizing or minimizing some function (such as profit or cost), where the variables defining the function are subject to some linear inequalities
constraints
Restrictions on one ore more variables in a problem
objective function
In linear programming, the function to optimize—that is, to maximize or minimize
optimize
To find the best solution to a linear programming problem. For example, to make the most profit or to find the solution with the least cost
feasible region
The graph of possible solutions, or choices, in a linear programming problem