Across
- 3. a straight line segment whose length is magnitude and whose orientation in space is direction
- 6. 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.
- 9. a set of certain rows and columns of a given matrix.
- 10. 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.
Down
- 1. 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.
- 2. a scalar value that is a function of the entries of a square matrix.
- 4. to interchange rows and columns.
- 5. 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.
- 7. pertaining to an algebraic system in which all the elements of a group are powers of one element.
- 8. an element of a field, which is used to define a vector space, usually the field of real numbers
- 10. 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.