Part one of term paper
An argument given by professor Loren Johnson of the Mathematics Department of the University of California Santa Barbara states: The determinant of the n x n matrix A is the product of it's eigenvalues (Yaquib 303). In order to show if this argument is valid and sound we will need to define some essential terms. I am going to assume that a fa ...

Part two of term paper
... be: 2x + 3y + 4z, x +3y and 6x + 2y + 2z. The first row of the matrix for this system is [2 1 6], the second would be [3 3 2] and the third would be [4 0 2] which we will call A. Using this information we can define the determinant as being the sum of all possible elementary signed products from A. This can only be achieved if A is an n x n matrix, where n represent the number of rows and columns. The signed elementary products of A can be defined as 1 when the permutation of the elementary produ ...