Generalizing Continued Fractions - DIMACS REU
... • Recall that a division ring satisfies all of the axioms of a field except that multiplication is not required to be commutative. • Over a field, if f(x) is a monic polynomial of degree n, with n distinct roots 1,..., n , f (x) (x 1)...(x n ) • But this doesn’t work in a division ring. It ...
... • Recall that a division ring satisfies all of the axioms of a field except that multiplication is not required to be commutative. • Over a field, if f(x) is a monic polynomial of degree n, with n distinct roots 1,..., n , f (x) (x 1)...(x n ) • But this doesn’t work in a division ring. It ...
DOC
... After reading this chapter, you should be able to 1. define what a matrix is. 2. identify special types of matrices, and 3. identify when two matrices are equal. What does a matrix look like? Matrices are everywhere. If you have used a spreadsheet such as Excel or written numbers in a table, you hav ...
... After reading this chapter, you should be able to 1. define what a matrix is. 2. identify special types of matrices, and 3. identify when two matrices are equal. What does a matrix look like? Matrices are everywhere. If you have used a spreadsheet such as Excel or written numbers in a table, you hav ...
