in my program the matrix is presented as an jagged array, using multithreading, I count the sum of all elements of a column, and I assign this sum to an element on the main diagonal. Do I need to use a lock(), if each thread works with a separate column?
int[][] matrix = new int[n][];// jagged array
for (int i = 0; i < n; i++)// run thread
  {
    int f = i;
    threads[i] = new Thread(new ThreadStart(() => 
     parallelSuma(matrix1,f,1)));
    threads[i].Start();
                
    }
private void parallelSuma(int[][] data, int f, int columnPerThread) {
        
        for (int i = f; i <f+columnPerThread; i++)
        {
            for (int j = 0; j < data.Length; j++)
            {
                if(i==j)
                    continue;
                data[i][i] += data[j][i];
            }
        }
    }