Group:
Timothy VanAusdal and Erik Martinez

Title:
solving sudoku using linear algrebra

Abstract:
We will be attempting to use linear algebra and some other intuitive
knowledge that we have to create a program that will solve a sudoku puzzle
using only linear algebra techniques. Because we know that there are 9
unique columns, 9 unique rows, and 9 unique boxes and because we know that
all of them will contain one and only one of each number from 1-9 we know
that we can create 27 different equations where all of the variables in it
will add up to 45. (1+2+...+9) . Using this knowledge and our knowledge of
linear algebra we will attempt to see if we can solve a sudoku puzzle by
creating an 82x81 augmented matrix .