In this assignment you’ll practice encapsulating data and behavior in a small Java program while reviewing linear algebra basics. The core problem is to compute the determinant of a matrix.

contents of this array are row1=[1 2] and row2=[3 4]. Your program should take the given array of elements, create the proper matrix, and then calculate the determinant. For the example above, your ...

Abstract: A simple and straightforward fast iterative method is presented for computing the inverse and determinant of any square matrix by successively applying order condensation and order expansion ...

ABSTRACT: Computing the sign of the determinant or the value of the determinant of an n × n matrix A is a classical well-know problem and it is a challenge for both numerical and algebraic methods. In ...

Abstract: The nested dissection method developed by Lipton, Rose, and Tarjan is a seminal method for quickly performing Gaussian elimination of symmetric real positive definite matrices whose support ...

We present some matrix and determinant identities for the divided differences of the composite functions, which generalize the divided difference form of Faà di Bruno's formula. Some recent published ...

For Artin algebras allowing certain filtered module categories, the Generalized Nakayama Conjecture is shown to be true; our result covers all positively graded Artin algebras and those whose radical ...