# C++ Matrix Programs A matrix is ​​a two-dimensional array with rows and columns as elements. The most commonly used matrix operations are addition, subtraction, and multiplication. Matrix multiplication multiplies the row elements of the first matrix with all the column elements of the second matrix. A sparse matrix is ​​a matrix whose elements are mostly zero. The following section contains various C++ programs on matrix operations, matrix types, matrix diagonals, sparse matrix, adjacency matrix, and triangular matrix.

Each sample program includes a program description, C++ code, and program output. All examples have been compiled and tested on Windows and Linux systems.

Here is the listing of C++ programming examples on Matrix Operations:

## 1. C++ Programs on Matrix Operations

Program Description
Matrix Subtraction in C++ C++ Program to Subtract Two Matrices
Matrix Multiplication in C++ C++ Program to Perform Matrix Multiplication
Multiplicability of Two Matrices in C++ C++ Program to Check Multiplicability of Two Matrices
Dot Product of Two Matrices in C++ C++ Program to Find Dot Product of Two Matrices
Find Transpose of a Matrix in C++ C++ Program to Find Transpose of a Matrix
Transpose of a 3 x 3 Matrix in C++ C++ Program to Find Transpose of a 3 x 3 Matrix
Determinant of a Matrix in C++ C++ Program to Find Determinant of a Matrix
Matrix Basis and Dimension in C++ C++ Program to Find Basis and Dimension of a Matrix
Matrix Linear Equations in C++ C++ Program to Represent Linear Equations in Matrix Form

## 2. C++ Programs on Matrix Types

Program Description
Invertible Matrix in C++ C++ Program to Check if a Matrix is Invertible
Sparse Matrix Size in C++ C++ Program to Implement Sparse Matrix
Sparse Matrix Program in C++ C++ Program to Determine if a Given Matrix is a Sparse Matrix
Check if a Matrix is Sparse or Not in C++ C++ Program to Check if a Matrix is a Sparse Matrix
Check Matrix is an Identity Matrix in C++ C++ Program to Check if a Matrix is an Identity Matrix
Orthogonal Matrix in C++ C++ Program to Check if a Matrix is Orthogonal or Not
Symmetric or Skew Symmetric Matrix in C++ C++ Program to Check if a Matrix is Symmetric or Skew-Symmetric
Inverse Matrix in C++ C++ Program to Find Inverse of a Matrix
Triangular Matrix in C++ C++ Program to Check if a Matrix is a Triangular Matrix

## 3. C++ Programs on Matrix Rows and Columns

Program Description
Interchange Rows of a Matrix in C++ C++ Program to Swap Rows of a Matrix

## 4. C++ Programs on Matrix Diagonals

Program Description
Interchanging Matrix Rows in C++ C++ Program to Interchange Diagonals of Matrix
Diagonal Matrix in C++ C++ Program to Check if a Matrix is Diagonal Matrix
Interchange Diagonals of Matrix in C++ C++ Program to Interchange Diagonals of a Square Matrix
Square Matrix in C++ C++ Program to Check if a Matrix is a Square Matrix
Upper Triangular Matrix in C++ C++ Program to Display Upper Triangular Matrix

## 5. More Matrix Programs in C++

Program Description
Message Encoding using Matrix in C++ C++ Program to Perform Message Encoding Using Matrix Multiplication
LU Decomposition in C++ C++ Program to Perform LU Decomposition of Any Matrix 