Across
- 2. a mathematical method of calculation where the numbers to be added or subtracted are set out above one another in columns.
- 5. The mathematical notion an abstraction of the process of making a geographical map.
- 9. a subspace of a vector space that has dimension one less than the dimension of the vector space.
- 10. the product of the minor of a given element of a matrix times −1 raised to the power of the sum of the indices of the row and column crossed out in forming the minor.
- 11. a straight line segment whose length is magnitude and whose orientation in space is direction
- 12. the act of changing the order of elements arranged in a particular order, as abc into acb, bac, etc., or of arranging a number of elements in groups made up of equal numbers of the elements in different orders, as a and b in ab and ba; a one-to-one transformation of a set with a finite number of elements.
- 15. a subset of a vector space which is itself a vector space
- 17. to interchange rows and columns.
- 18. the set of elements that a given function from one set to a second set maps into the identity of the second set.
Down
- 1. the set of all linear functionals that map to zero all elements of a given subset of a vector space.
- 3. an element of a field, which is used to define a vector space, usually the field of real numbers
- 4. a set of certain rows and columns of a given matrix.
- 6. two matrices is defined if and only if the number of columns of the left matrix is the same as the number of rows of the right matrix
- 7. a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
- 8. straight line has one dimension, a parallelogram has two dimensions, and a parallelepiped has three dimensions.
- 10. pertaining to an algebraic system in which all the elements of a group are powers of one element.
- 13. a non-zero element of a matrix selected by an algorithm
- 14. a scalar value that is a function of the entries of a square matrix.
- 16. A matrix with the same number of rows and columns, sometimes used to represent a linear transformation from a vector space to itself, such as reflection, rotation, or shearing.