Linear Algebra/Complex Representations

Linear Algebra Complex Representations Factoring and Complex Numbers: A Review Definition and Examples of Similarity Recall the definitions of the complex number addition and multiplication. Example 2.1 For instance, and . Handling scalar operations with those rules, all of the operations that we've covered for real vector spaces carry over unchanged. Example 2.2 Matrix multiplication is the same, although the scalar arithmetic involves more bookkeeping. Everything else from prior chapters that we can, we shall also carry over unchanged. standard basisFor instance, we shall call the ordered set of vectors the standard basis for as a vector space over and again denote it . Linear Algebra Complex Representations Factoring and Complex Numbers: A Review Definition and Examples of Similarity