[c++] How to implement 2D vector array?

If you know the (maximum) number of rows and columns beforehand, you can use resize() to initialize a vector of vectors and then modify (and access) elements with operator[]. Example:

int no_of_cols = 5;
int no_of_rows = 10;
int initial_value = 0;

std::vector<std::vector<int>> matrix;
matrix.resize(no_of_rows, std::vector<int>(no_of_cols, initial_value));

// Read from matrix.
int value = matrix[1][2];

// Save to matrix.
matrix[3][1] = 5;

Another possibility is to use just one vector and split the id in several variables, access like vector[(row * columns) + column].