#includeThis code imports the MatrixF library, creates a 3x3 matrix, populates it with values, and performs various operations on it including transposition, scalar multiplication, and matrix multiplication. The package library for MatrixF is likely some kind of linear algebra or data analysis library, given its focus on matrix manipulation.#include int main() { // Create a 3x3 matrix MatrixF matrix(3, 3); // Populate the matrix matrix.set(0, 0, 1); matrix.set(0, 1, 2); matrix.set(0, 2, 3); matrix.set(1, 0, 4); matrix.set(1, 1, 5); matrix.set(1, 2, 6); matrix.set(2, 0, 7); matrix.set(2, 1, 8); matrix.set(2, 2, 9); // Print the matrix std::cout << "Matrix: " << std::endl; matrix.print(); // Transpose the matrix MatrixF transposedMatrix = matrix.transpose(); std::cout << "Transposed matrix: " << std::endl; transposedMatrix.print(); // Scalar multiplication MatrixF multipliedMatrix = matrix * 2; std::cout << "Multiplied matrix by scalar: " << std::endl; multipliedMatrix.print(); // Matrix multiplication MatrixF otherMatrix(3, 2); otherMatrix.set(0, 0, 2); otherMatrix.set(0, 1, 3); otherMatrix.set(1, 0, 4); otherMatrix.set(1, 1, 5); otherMatrix.set(2, 0, 6); otherMatrix.set(2, 1, 7); MatrixF productMatrix = matrix * otherMatrix; std::cout << "Product of matrices: " << std::endl; productMatrix.print(); return 0; }