During my second course in linear algebra, I encountered a frequent need to convert linear maps into matrices. This task became particularly challenging when working with complex maps and bases, ...

Many of us have probably encountered matrices at some point in math. They're these tables with seemingly byzantine rules for combining them. Take the first element of the first row, first element of ...

where and are any linear map on and respectively. Proof: Suppose is defined by. where, and are any linear map on and respectively, and consider the standard basis. Note that, for. and. Since are ...

Graphs and matrices are widely used to represent maps in solutions for Simultaneous Localization and Mapping (SLAM). Space representation is crucial for map creation, finding the shortest path, ...