Using the Matrix class

The Matrix class is a template class designed to represent and manipulate matrices. It provides various operations for matrix-matrix and matrix-scalar computations, as well as utilities for input/output, transposition, singular value decomposition (SVD), and pseudo-inverse computation.

This tutorial provided a basic overview of how to use the Matrix class. For more advanced usage and additional features, please refer to the Matrix class API in matrix.hpp.

1. Instantiate the Class: Instantiate an object of the Matrix class with the desired template parameter (ValueType).

   Matrix<double> mat;
   

2. Initialize the Matrix: Initialize the matrix with its dimensions and optionally with data.

   Matrix<double> mat(3, 3);  // Creates a 3x3 matrix filled with default-initialized values.
   

3. Perform Matrix Operations: You can perform various matrix operations such as addition, subtraction, multiplication, and element-wise operations.

   Matrix<double> A(3, 3);
   Matrix<double> B(3, 3);
   Matrix<double> C = A + B;  // Addition
   Matrix<double> D = A * B;  // Matrix multiplication
   Matrix<double> E = A * 2.0;  // Scalar multiplication
   

4. Access Matrix Elements: You can access individual elements of the matrix using the operator() or operator[].

   double val = mat(0, 0);  // Access element at row 0, column 0
   mat(1, 2) = 10.0;  // Assign a new value to the element at row 1, column 2
   

5. Transpose the Matrix: Transpose the matrix using the Transpose method.

   Matrix<double> transposed = mat.Transpose();