Introduction to Matrices

                                 Tom Davis 

                            tomrdavis@earthlink.net

1    Definitions

A matrix  (plural:  matrices)  is simply a rectangular array  of “things”. For now, we’ll assume the “things”  are numbers,  but  as you go on in mathematics, you’ll find that matrices  can be arrays  of very general  objects. Pretty much all that’s  required  is that you be able to add,  subtract, and multiply  the “things”.

Here are some examples  of matrices.   Notice that it is sometimes  useful to have variables  as entries,  as long as the  variables  represent the  same  sorts  of “things”  as appear  in the  other  slots.   In our  examples,  we’ll always assume  that all the  slots are filled with  numbers.   All our examples  contain  only real numbers,  but matrices  of complex numbers  are very common.

Link download: https://www.fshare.vn/file/DZMU61911UXS

Pass word: FDTU