Across
- 4. a function whose value you want to minimize (like cost) or maximize (like profit).
- 8. a matrix that, when multiplied by A results in the identity. In a 2x2; Swap the positions of a and d, put negatives in front of b and c, and divide everything by ad−bc .
- 10. A special number that can be calculated from a square matrix.
- 16. a matrix in which the entries outside the main diagonal are all zero
- 18. the number of rows by the number of columns. If a matrix has a rows and b columns, it is an a×b matrix
- 20. any prescribed way of assigning to each object in one set a particular object in another (or the same) set.
- 23. Two or more equations that share variables.
- 25. those variables whose values can vary over the feasible set of alternatives in order to either increase or decrease the value of the objective function.
- 26. An equation that is true no matter what values are chosen.
- 27. An arrangement of figures, one above the other.
- 28. A method to find the best solution when there are linear equations and/or inequalities.
- 30. how the numbers in an addition/multiplication problem are grouped doesn’t change the solution
- 31. "Flipping" a matrix over its diagonal. The rows and columns get swapped. The symbol is a "T" placed above and to the right like this: A^T
- 32. A limitation on the possible values of variables in a model, often expressed by an equation or inequality or by specifying that the value must be an integer.
- 35. pairs of mathematical manipulations in which one operation undoes the action of the other—for example, addition and subtraction, multiplication and division.
Down
- 1. a set that is closed under finite vector addition and scalar multiplication.
- 2. System that has no solution.
- 3. the multiplication of a vector by a scalar (where the product is a vector),
- 5. is the set of all possible points (sets of values of the choice variables) of an optimization problem that satisfy the problem's constraints,
- 6. a square matrix over a commutative ring is invertible if and only if its determinant is a unit in that ring.
- 7. one of the objects that are connected together.
- 9. a point in a convex set which does not lie in any open line segment joining two points in the set.
- 11. a matrix with rows and columns labeled by graph vertices, …
- 12. (1) In each row, the leftmost nonzero entry is 1 and the column that contains this 1 has all other entries equal to 0. This 1 is called a leading 1 (2)The leading 1 in the second row or beyond is to the right of the leading 1 in the row just above.(3) Any row containing only 0's is at the bottom.
- 13. quantities that only have magnitude (or size),
- 14. the order in which two numbers are added/multiplication does not change the solution
- 15. A flat surface with no thickness. It extends forever.
- 17. has at least one solution,
- 19. function A function whose graph is a straight line or describes a gradual rate of change, either positive or negative.
- 21. matrix used to represent a finite graph
- 22. the only matrix whose rank is 0.
- 24. a one-dimensional figure, which has length but no width and is made of a set of points which is extended in opposite directions infinitely with zero curvature
- 26. It is an involutory matrix, equal to its own inverse.
- 29. An array of numbers. They can be added, subtracted, multiplied and more.
- 33. Things lying side-by-side. Objects, people, numbers, etc in a horizontal line.
- 34. A quantity with magnitude and direction in the plane or in space, defined by an ordered pair or triple of real numbers.