The minor of an element of any $n\times n$ matrix determinant is a $(n-1)\times (n-1)$ matrix determinant. If we delete the row and column containing the element, then we get appropriate minor. For example, the minor of the element $a$, element in the first row and first column...
A calculator that can perform matrix operations (for example: multiplying, adding, subtracting, calculating the determinant, and finding the inverse of any two matrices) - Karim-308/NxN-Matrix-Calculator
Cofactor expansion is defined as the sum of the products of each entry along a row or a column of a matrix and the corresponding factor of that entry. Despite poor asymptotic performance, cofactor expansion provides a direct method for the computation of the determinant for any NxN matrix. ...
Given a NxN matrix A, find theDeterminantof A % P. Input: Multiple test cases (the size of input file is about 3MB, all numbers in each matrix are generated randomly). The first line of every test case contains two integers , representing N (0 < N < 201) and P (0 < P < 1,...
//Defines the matrix type //11: real and unsymmetric matrix int mtype = 11; //Controls the execution of the solver int phase = 11; //Number of equations int n = 2; //Non-zero values of the coefficient matrix A //3 1 = A //0 0 double *a = new double[3]; a[0] = 3.0;...
Given a NxN matrix A, find theDeterminantof A % P. Input Multiple test cases (the size of input file is about 3MB, all numbers in each matrix are generated randomly). The first line of every test case contains two integers , representing N (0 < N < 201) and P (0 < P < 1,...
Problem code: DETER3 Given a NxN matrix A, find the Determinant of A % P. 给出一个尺寸为N×N的整数方阵A(N≤200),要求求出|A|%P的值(即A的行列式的值除以P的余数)。方阵中的数与P均为32位有符号类型可容纳的整数 Input The first line of every test case contains two integers , representi...
Let a matrix be\(H ={( {h}_{ij} )}_{n\times m}\). Let a fuzzy number be\({F}_{ij} =({a}_{ij},{b}_{ij},{c}_{ij})\); a fuzzy number ã is evaluated through a trio \(X=(x,y,z)\) whereas the role of association quantity in fuzzy (TFN) is well-defined ...
The algorithm is well structured because it defines a simple recursive pattern. However, the algorithm presents a poor asymptotic runtime. At each stage n in [0,N - 1], the expansion sums the product of a subdeterminant of order n - 1 (the cofactors) with an entry in the matrix. ...
A computationally simplified new procedure is presented in this paper to evaluate the determinant of a matrix A [nxn], where A may be ill-conditioned. The proposed method reduces the n th order determinant using the elementary row operations into a sequence of column vectors and then the ...