Critical Thinking-Logical Proo

Part I of Essay
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 wi ....

Part II of Essay
.... and columns. The signed elementary products of A can be defined as 1 when the permutation of the elementary products is even and -1 when the permutation of the elementary products is odd (Hughes-Hallet 20). These two numbers are then multiplied by their respective permutation and the whole lot is added together. When all calculations are said and done this results in a number for matrix A, in this case -58. This now leads us to the definition of an eigenvalue. Since we have already defined A as a n x n matrix we can say that the eigenvalues a ....