Determinante nulo e sistemas lineares

Abstract

The determinant function associates to every square matrix A the number det A, defined through of sums of the products of its terms. Such number carries characteristics of the matrix, for example, if det A ≠ 0, the matrix is invertible and linear systems that has the coefficients given by A has a unique solution. The interpretation of det A = 0 and its consequences in the solution set of linear systems are little explored in general. This is the case we will cover.