Proving whether the vector group is linearly independent is to solve a homogeneous linear equation group. Let k1α1+K2α 2+...+KNα n = 0, which means that every component in the vector is 0, so there is a homogeneous linear equation system. If the rank of the coefficient matrix is the same as the number of variables, then there are only unique solutions and zero solutions, which are linearly irrelevant, otherwise they are linearly related.