szs ff math

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Across
  1. 2. a mathematical method of calculation where the numbers to be added or subtracted are set out above one another in columns.
  2. 5. The mathematical notion an abstraction of the process of making a geographical map.
  3. 9. a subspace of a vector space that has dimension one less than the dimension of the vector space.
  4. 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.
  5. 11. a straight line segment whose length is magnitude and whose orientation in space is direction
  6. 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.
  7. 15. a subset of a vector space which is itself a vector space
  8. 17. to interchange rows and columns.
  9. 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. 1. the set of all linear functionals that map to zero all elements of a given subset of a vector space.
  2. 3. an element of a field, which is used to define a vector space, usually the field of real numbers
  3. 4. a set of certain rows and columns of a given matrix.
  4. 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
  5. 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.
  6. 8. straight line has one dimension, a parallelogram has two dimensions, and a parallelepiped has three dimensions.
  7. 10. pertaining to an algebraic system in which all the elements of a group are powers of one element.
  8. 13. a non-zero element of a matrix selected by an algorithm
  9. 14. a scalar value that is a function of the entries of a square matrix.
  10. 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.