// C++ program to find adjoint and inverse of a matrix
#include<bits/stdc++.h>
using namespace std;
#define N 4
// Function to get cofactor of A[p][q] in temp[][]. n is
current
// dimension of A[][]
void getCofactor(int A[N][N], int temp[N][N], int p, int q, int
n)
{
int i = 0, j = 0;
// Looping for each element of the matrix
for (int row = 0; row < n; row++)
{
for (int col = 0; col < n;
col++)
{
// Copying into
temporary matrix only those element
// which are not
in given row and column
if (row != p
&& col != q)
{
temp[i][j++] = A[row][col];
// Row is filled, so increase row index
and
// reset col index
if (j == n - 1)
{
j = 0;
i++;
}
}
}
}
}
/* Recursive function for finding determinant of matrix.
n is current dimension of A[][]. */
int determinant(int A[N][N], int n)
{
int D = 0; // Initialize result
// Base case : if matrix contains single
element
if (n == 1)
return A[0][0];
int temp[N][N]; // To store cofactors
int sign = 1; // To store sign multiplier
// Iterate for each element of first row
for (int f = 0; f < n; f++)
{
// Getting Cofactor of
A[0][f]
getCofactor(A, temp, 0, f,
n);
D += sign * A[0][f] *
determinant(temp, n - 1);
// terms are to be added with
alternate sign
sign = -sign;
}
return D;
}
// Function to get adjoint of A[N][N] in adj[N][N].
void adjoint(int A[N][N],int adj[N][N])
{
if (N == 1)
{
adj[0][0] = 1;
return;
}
// temp is used to store cofactors of A[][]
int sign = 1, temp[N][N];
for (int i=0; i<N; i++)
{
for (int j=0; j<N; j++)
{
// Get cofactor
of A[i][j]
getCofactor(A,
temp, i, j, N);
// sign of
adj[j][i] positive if sum of row
// and column
indexes is even.
sign =
((i+j)%2==0)? 1: -1;
//
Interchanging rows and columns to get the
// transpose of
the cofactor matrix
adj[j][i] =
(sign)*(determinant(temp, N-1));
}
}
}
// Function to calculate and store inverse, returns false
if
// matrix is singular
bool inverse(int A[N][N], float inverse[N][N])
{
// Find determinant of A[][]
int det = determinant(A, N);
if (det == 0)
{
cout << "Singular matrix,
can't find its inverse";
return false;
}
// Find adjoint
int adj[N][N];
adjoint(A, adj);
// Find Inverse using formula "inverse(A) =
adj(A)/det(A)"
for (int i=0; i<N; i++)
for (int j=0; j<N; j++)
inverse[i][j] =
adj[i][j]/float(det);
return true;
}
// Generic function to display the matrix. We use it to
display
// both adjoin and inverse. adjoin is integer matrix and
inverse
// is a float.
template<class T>
void display(T A[N][N])
{
for (int i=0; i<N; i++)
{
for (int j=0; j<N; j++)
cout <<
A[i][j] << " ";
cout << endl;
}
}
// Driver program
int main()
{
int A[N][N] = { {5, -2, 2, 7},
{1, 0, 0, 3},
{-3, 1, 5, 0},
{3, -1, -9, 4}};
int adj[N][N]; // To store adjoint of A[][]
float inv[N][N]; // To store inverse of A[][]
cout << "Input matrix is :\n";
display(A);
cout << "\nThe Adjoint is :\n";
adjoint(A, adj);
display(adj);
cout << "\nThe Inverse is :\n";
if (inverse(A, inv))
display(inv);
return 0;
}
C++ Language. 11. matrix inversion puter program to find the inverse of a specified square matrix....
Wondering if I could get some guidance on setting up
newMatrix(). Language is C
Matrix ADT Specifications In addition to the main program Sparse.c and the altered List.c from pal, you will implement a Matrix ADT in a file called Matrix.c. This ADT will contain a private inner struct (similar to Node in your List ADT) encapsulating the column and value information corresponding to a matrix entry. You can give this inner struct any name you wish, but I will...
** Use Java programming language Program the following algorithms in JAVA: A. Classical matrix multiplication B. Divide-and-conquer matrix multiplication In order to obtain more accurate results, the algorithms should be tested with the same matrices of different sizes many times. The total time spent is then divided by the number of times the algorithm is performed to obtain the time taken to solve the given instance. For example, you randomly generate 1000 sets of input data for size_of_n=16. For each...
Write the following C++ program that searches for specified words hidden within a matrix of letters. 1) Read a file that the user specifies. The file will first specify the dimensions of the matrix (e.g., 20 30). These two numbers specify the number of rows in the matrix and then the number of columns in the matrix. 2) Following these two numbers, there will be a number of rows of letters. These letters should be read into your matrix row...
An Triangular matrix is a square matrix whose elements below the diagonal are defined to be 0. For example, the matrix element Mr,c = 0 if r > c. The following is an example matrix of size 4. 0 1 2 3 0 100 200 300 400 1 0 500 600 700 2 0 0 800 900 3 0 0 0 1000 While it is possible to use a regular 2D array to represent an Triangular matrix, doing so is...
In this exercise you will work with LU factorization of an matrix A. Theory: Any matrix A can be reduced to an echelon form by using only row replacement and row interchanging operations. Row interchanging is almost always necessary for a computer realization because it reduces the round off errors in calculations - this strategy in computer calculation is called partial pivoting, which refers to selecting for a pivot the largest by absolute value entry in a column. The MATLAB...
//I NEED THE PROGRAM IN C LANGUAGE!// QUESTION: I need you to write a program which manipulates text from an input file using the string library. Your program will accept command line arguments for the input and output file names as well as a list of blacklisted words. There are two major features in this programming: 1. Given an input file with text and a list of words, find and replace every use of these blacklisted words with the string...
Find an optimal parenthesization for matrix-chain multiplications using any language PYTHON/Java/C++ ,C for the number {26, 9, 41, 18, 13, 22, 28, 32, 25, 26, 30, 37, 19, 47, 11, 24, 20} using a straight forward-recursive solution. The output must be three lines: 1) the first line contains the optimal number of multiplication 2) the second line contains the optimal parenthesization and 3) the third line is the time required to compute the optimal parenthesization
18.1 Lab Lesson 11 (Part 1 of 1) Part of lab lesson 11 There in one part to lab lesson 11. The entire lab will be worth 100 points. Lab lesson 11 part 1 is worth 100 points For part 1 you will have 80 points if you enter the program and successfully run the program tests. An additional 20 points will be based on the style and formatting of your C++ code. Style points The 20 points for coding...
C++
Carefully review Program 19-2 in your textbook,
MathStack. This is a static stack, meaning that the size
of the stack is set at the beginning of the program (see line 11):
MathStack stack(5).
I would like you to modify this program as follows:
1. Implement it as a dynamic stack (do not use a static
stack as it is designed in the book). Use a linked list to
implement this. There's code in the book.
2. Add functionality for...
C LANGUAGE. PLEASE INCLUDE COMMENTS :)
>>>>TheCafe V2.c<<<<
#include <stdio.h>
int main()
{
int fries; // A flag denoting whether they want fries or not.
char bacon; // A character for storing their bacon preference.
double cost = 0.0; // The total cost of their meal, initialized to start at 0.0
int choice; // A variable new to version 2, choice is an int that will store the
// user's menu choice. It will also serve as our loop control...